Construct a quadratic equation whose roots are (-frac{1}{2}) and 2.
- A.
3x^{2}-3x+2=0 - B.
3x^{2}+3x-2=0 - C.
2x^{2}+3x-2=0 - D.
2x^{2}-3x+2=0 - E.
2x^{2}-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)