test-9d-mate-sincai-Algebra - W - Collection-20130516-1959
Ecuatie-calcul algebric
1.0000000
0.3333333
0
true
Multimea valorilor reale ale lui x, pentru care ecuatia «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»a«/mi»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»a«/mi»«mn»1«/mn»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»a«/mi»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»a«/mi»«mn»1«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mn»3«/mn»«/math», nu are sens, este :]]>
{ #c1, #c2 }
Multimea solutiilor ecuatiei : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»a«/mi»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»a«/mi»«mn»1«/mn»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»a«/mi»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»a«/mi»«mn»1«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mn»3«/mn»«/math» , este :]]>
{ #s1, #s2 }
{ #sf1, #s2 }
{ #c1, #cf2 }
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>simplify</mi><mo>(</mo><mfrac><mrow><mn>3</mn><mi>x</mi><mo>-</mo><mi>a1</mi></mrow><mrow><mi>x</mi><mo>+</mo><mi>a1</mi></mrow></mfrac><mo>+</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mi>a1</mi></mrow><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mi>a1</mi></mrow></mfrac><mo>-</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>num</mi><mo>(</mo><mi>a</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mi>solve</mi><mo>(</mo><mi>h</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>den</mi><mo>(</mo><mi>a</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mi>solve</mi><mo>(</mo><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>0</mn><mo>)</mo></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>S</mi><mo>∩</mo><mi>C</mi><mo>=</mo><mo>{</mo><mo> </mo><mo>}</mo></mrow><mrow><mi>sol</mi><mo>=</mo><mi>S</mi></mrow><mrow><mi>sol</mi><mo>=</mo><mo>"</mo><mi>atn</mi><mo>"</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><msub><mi>S</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><msub><mi>S</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><msub><mi>C</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><msub><mi>C</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sf1</mi><mo>=</mo><mi>s1</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cf2</mi><mo>=</mo><mi>c2</mi><mo>-</mo><mn>1</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>7</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>35</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>7</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>7</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><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>