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NDA2018MathematicsQuadratic EquationActual

If and ( 0) are the roots of the quadratic equation x^2+ x- =0 , then the quadratic expression -x^2+ x+ where x R has

Options

  1. ALeast value - 1 4
  2. BLeast value - 9 4
  3. CGreatest value 1 4
  4. DGreatest value 9 4

Correct answer

D. Greatest value 9 4

Step-by-step solution

aligned & + =- , =- & + =0 & ( +1) =0 & =-1( 0) aligned aligned & (2 + )=0 & =2 & -x^2+ x+ =-x^2-x+2 & Greatest value =- 1+8 -4 = 9 4 aligned

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