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AP EAMCET2006MathematicsQuadratic Equation

If , , are the roots of the equation x^3-6 x^2+11 x+6=0 , then ^2 + ^2 is equal to :

Options

  1. A80
  2. B84
  3. C90
  4. D-84

Correct answer

B. 84

Step-by-step solution

, , are the roots of the equation x^3-6 x^2+11 x+6=0 + + =6 + + =11 and =-6 Now ^2 + ^2= ^2 + ^2 + ^2 + ^2+ ^2+ ^2= ( + )+ ( + )+ ( + )= (6- )+ (6- )+ (6- )=6( + + )-3 =6(11)+3(6)=66+18=84

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