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AP EAMCET20228 Jul 2022Morning ShiftMathematicsQuadratic EquationActual

The quadratic equation whose sum of the roots is 11 and sum of squares of the roots is 61 is

Options

  1. Ax^2+11 x-30=0
  2. Bx^2+11 x+30=0
  3. Cx^2-11 x-30=0
  4. Dx^2-11 x+30=0

Correct answer

D. x^2-11 x+30=0

Step-by-step solution

Let and are roots of quadratic equation + =11 and ^2+ ^2=61 ( + )^2-2 =61 121-2 =61 =30 Quadratic equation is aligned & x ^2-( + ) x + =0 & x ^2-11 x +30=0 aligned

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