Mathematics

Construct a quadratic equation whose roots are (-frac{1}{2}) and 2.

Construct a quadratic equation whose roots are (-frac{1}{2}) and 2.

  • A.
    3x2-3x+2=0
  • B.
    3x2+3x-2=0
  • C.
    2x2+3x-2=0
  • D.
    2x2-3x+2=0
  • E.
    2x2-3x-2=0
Correct Answer: Option E
Explanation

If x = (-frac{1}{2}) and 2; then

(x + frac{1}{2} = 0) and (x – 2 = 0)

(implies (x + frac{1}{2})(x – 2) = 0)

(x^2 – 2x + frac{1}{2}x – 1 = 0)

(x^2 – frac{3}{2}x – 1 = 0)

(2x^2 – 3x – 2 = 0)