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AP EAMCET202123 Aug 2021Morning ShiftMathematicsQuadratic EquationActual

If , and are the root 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

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

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