test-9d-mate-sincai-Algebra - W - Collection-20130516-1959Relatiile lui Viete II
Sa se determine c«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8712;«/mo»«mi mathvariant=¨normal¨»§#8477;«/mi»«/math» , astfel incat suma cuburilor radacinilor ecuatiei
#a*x2 + #b*x + c = 0 , sa fie egala cu zero .
]]>1.00000000.333333300#solE nevoie de relatiile lui F. Viete !]]>
<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"><mtable><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo><mo>*</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><msup><mi>b</mi><mn>2</mn></msup><mrow><mn>3</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command></group></library><group><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>4</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></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><correctAnswer id="1"></correctAnswer></correctAnswers><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="inputField">inlineEditor</data></localData></question> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»§#160;«/mo»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«mo»§#160;«/mo»«mo»+«/mo»«msub»«mi»x«/mi»«mrow»«mn»2«/mn»«mo»§#160;«/mo»«/mrow»«/msub»«msup»«mo»)«/mo»«mn»3«/mn»«/msup»«mo»§#160;«/mo»«mo»=«/mo»«msup»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«mn»3«/mn»«/msup»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«msup»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«mn»3«/mn»«/msup»«mo»§#160;«/mo»«mo»+«/mo»«mn»3«/mn»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«mo»(«/mo»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«mo»)«/mo»«/math»]]>