Álgebra/Tema 1/Dificil 1 4CAF-CD-CONJUNTOS ACOTADOS-F-Determinar supremo 4CAF

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»B«/mi»«mo»=«/mo»«mfenced open=¨{¨ close=¨}¨»«mrow»«mi»x«/mi»«mo»§#8712;«/mo»«mi mathvariant=¨normal¨»§#8477;«/mi»«mo»§#160;«/mo»«mo»|«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»q«/mi»«/mrow»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«/math»

El extremo superior o supremo del conjunto B es:

]]> 1.0000000 0.3333333 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mfrac><mrow><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mrow><mrow><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ineq</mi><mo>:</mo><mo>=</mo><mfrac><mfenced close="|" open="|"><mrow><mi>a</mi><mo>*</mo><mi>x</mi><mo>-</mo><mi>b</mi></mrow></mfenced><mi>c</mi></mfrac><mo><</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mi>b</mi><mi>a</mi></mfrac><mo>+</mo><mfrac><mrow><mi>c</mi><mo>*</mo><mi>d</mi></mrow><mfenced close="|" open="|"><mi>a</mi></mfenced></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ineq</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mfenced close="|" open="|"><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfenced><mn>5</mn></mfrac><mo><</mo><mfrac><mn>13</mn><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>45</mn><mn>8</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> AI-NR-D-Cálculo de extremos en una parábola Dado el conjunto #F=#H determine si existen

1. Máximo de #F {#1}

2. Extremo superior o supremo de #F {#2}

3. Mínimo de #F {#3}

4. Extremo inferior o ínfimo de #F {#4}

Si existe calcúlelo, si no coloca N

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>F</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>A</mi><mo>,</mo><mi>B</mi><mo>,</mo><mi>C</mi><mo>,</mo><mi>D</mi><mo>,</mo><mi>E</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>H</mi><mo>=</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>c</mi><mo> </mo><mo>|</mo><mo> </mo><mi>x</mi><mo>∈</mo><mo> </mo><reals/></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aux</mi><mo>=</mo><mfrac><mrow><mn>4</mn><mo>*</mo><mi>a</mi><mo>*</mo><mi>c</mi><mo>-</mo><msup><mi>b</mi><mn>2</mn></msup></mrow><mrow><mn>4</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>></mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>sol1</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>N</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>sol2</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>N</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>sol3</mi><mo>=</mo><mo> </mo><mi>aux</mi></mtd></mtr><mtr><mtd><mi>sol4</mi><mo>=</mo><mo> </mo><mi>aux</mi></mtd></mtr><mtr><mtd/></mtr></mtable><mtable><mtr><mtd><mi>sol1</mi><mo>=</mo><mo> </mo><mi>aux</mi></mtd></mtr><mtr><mtd><mi>sol2</mi><mo>=</mo><mo> </mo><mi>aux</mi></mtd></mtr><mtr><mtd><mi>sol3</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>N</mi><mo>"</mo><mo> </mo></mtd></mtr><mtr><mtd><mi>sol4</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>N</mi><mo>"</mo></mtd></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr></mtable></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>249</mn><mn>20</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>189</mn><mn>20</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aux</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>23</mn><mn>8</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>N</ms></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>25</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>25</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>N</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>N</ms></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> ER_A2_1.1.4 ER_A2_1.1.4

Sea A el siguente subconjunto de los números reales:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»=«/mo»«mfenced open=¨{¨ close=¨}¨»«mrow»«mo»#«/mo»«mi»a«/mi»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#183;«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#183;«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»:«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8712;«/mo»«mo»[«/mo»«mo»#«/mo»«mi»I«/mi»«mo»,«/mo»«mo»#«/mo»«mi»D«/mi»«mo»[«/mo»«/mrow»«/mfenced»«/math»

Determine si existen:

Sup(A) = {#1}
Inf(A) = {#2}
Max(A) = {#3}
Min(A) = {#4}

Nota: si NO existe, indique como resultado 123456

]]> 10.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>8</mn><mo>)</mo><mo>+</mo><mi>I</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aux</mi><mo>=</mo><mn>2</mn><mo>*</mo><mo>(</mo><mi>D</mi><mo>-</mo><mi>I</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>*</mo><mi>c</mi><mo>*</mo><mo>(</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>I</mi><mo>-</mo><mn>1</mn><mo>*</mo><mi>D</mi><mo>+</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>*</mo><mi>D</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>VI</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>I</mi><mo>+</mo><mi>c</mi><mo>*</mo><msup><mi>I</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>VD</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>D</mi><mo>+</mo><mi>c</mi><mo>*</mo><msup><mi>D</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>VC</mi><mo>=</mo><mi>a</mi><mo>-</mo><mfrac><msup><mi>b</mi><mn>2</mn></msup><mrow><mn>4</mn><mo>*</mo><mi>c</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>></mo><mn>0</mn></mrow><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>c</mi></mrow></mfrac><mo>⩾</mo><mi>I</mi></mrow><mtable><mtr><mtd><mi>S</mi><mo>=</mo><mi>max</mi><mo>(</mo><mi>VI</mi><mo>,</mo><mi>VD</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>I</mi><mtext>nf</mtext><mo>=</mo><mi>VC</mi></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>S</mi><mo>=</mo><mo>=</mo><mi>VI</mi></mrow><mrow><mi>MM</mi><mo>=</mo><mi>VI</mi></mrow><mrow><mi>MM</mi><mo>=</mo><mn>123456</mn></mrow></apply></mtd></mtr><mtr><mtd><mi>M</mi><mo>=</mo><mi>VC</mi></mtd></mtr></mtable><mtable><mtr><mtd><mi>S</mi><mo>=</mo><mi>VD</mi></mtd></mtr><mtr><mtd><mi>I</mi><mtext>nf</mtext><mo>=</mo><mi>VI</mi></mtd></mtr><mtr><mtd><mi>MM</mi><mo>=</mo><mn>123456</mn></mtd></mtr><mtr><mtd><mi>M</mi><mo>=</mo><mi>VI</mi></mtd></mtr></mtable></apply><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>c</mi></mrow></mfrac><mo>⩾</mo><mi>I</mi></mrow><mtable><mtr><mtd><mi>S</mi><mo>=</mo><mi>VC</mi></mtd></mtr><mtr><mtd><mi>I</mi><mtext>nf</mtext><mo>=</mo><mi>min</mi><mo>(</mo><mi>VI</mi><mo>,</mo><mi>VD</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>MM</mi><mo>=</mo><mi>VC</mi></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>I</mi><mtext>nf</mtext><mo>=</mo><mo>=</mo><mi>VI</mi></mrow><mrow><mi>M</mi><mo>=</mo><mi>VI</mi></mrow><mrow><mi>M</mi><mo>=</mo><mn>123456</mn></mrow></apply></mtd></mtr></mtable><mtable><mtr><mtd><mi>S</mi><mo>=</mo><mi>VI</mi></mtd></mtr><mtr><mtd><mi>I</mi><mtext>nf</mtext><mo>=</mo><mi>VD</mi></mtd></mtr><mtr><mtd><mi>MM</mi><mo>=</mo><mi>VI</mi></mtd></mtr><mtr><mtd><mi>M</mi><mo>=</mo><mn>123456</mn></mtd></mtr></mtable></apply></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><mo>-</mo><mo>(</mo><mi>D</mi><mo>-</mo><mi>I</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>7</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>c</mi></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>></mo><mn>0</mn></mrow><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><maction actiontype="argument"><mtext>condición</mtext></maction><mrow/><mrow/></apply><mrow/></apply></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> ER_A2_1.1.4 ER_A2_1.1.4

Sea A el siguente subconjunto de los números reales:

Determine si existen:

Sup(A) = {#1}
Inf(A) = {#2}
Max(A) = {#3}
Min(A) = {#4}

Nota: si NO existe, indique como resultado 123456

]]> 10.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>8</mn><mo>)</mo><mo>+</mo><mi>I</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aux</mi><mo>=</mo><mn>2</mn><mo>*</mo><mo>(</mo><mi>D</mi><mo>-</mo><mi>I</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>c</mi><mo>*</mo><mo>(</mo><mi>D</mi><mo>-</mo><mn>1</mn><mo>-</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mi>aux</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>VI</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>I</mi><mo>+</mo><mi>c</mi><mo>*</mo><msup><mi>I</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>VD</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>D</mi><mo>+</mo><mi>c</mi><mo>*</mo><msup><mi>D</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>VC</mi><mo>=</mo><mi>a</mi><mo>-</mo><mfrac><msup><mi>b</mi><mn>2</mn></msup><mrow><mn>4</mn><mo>*</mo><mi>c</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>></mo><mn>0</mn></mrow><apply><csymbol 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definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><maction actiontype="argument"><mtext>condición</mtext></maction><mrow/><mrow/></apply><mrow/></apply></math></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>