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AP EAMCET202018 Sep 2020Morning ShiftMathematicsQuadratic EquationActual

If the sum of the roots of the quadratic equations is 1 and sum of the squares of the roots is 13 , then find that equation.

Options

  1. A(x^2+x-6=0 )
  2. B(x^2-x+6=0 )
  3. C(x^2-x-6=0 )
  4. D(x^2+x+6=0 )

Correct answer

C. (x^2-x-6=0 )

Step-by-step solution

Let the roots of the quadratic equation are ( ) and ( ) then it is given that ( aligned + & =1 and ^2+ ^2=13 & = 1 2 [( + )^2- ( ^2+ ^2 ) ]= 1 2 [1-13]=-6 aligned ) So, equation of required quadratic is (x^2-( + ) x+ =0 x^2-x-6=0. )

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