From the equation whose roots are x = (frac{1}{2}) and -(frac{2}{3})
-
A.
6x2 – x + 2 = 0 -
B.
6x2 – x – 2 = 0 -
C.
6x2 + x + 2 = 0 -
D.
6x2 + x – 2 = 0
Correct Answer: Option D
Explanation
x = (frac{1}{2}) and x = (frac{-2}{3})
expand (x – (frac{1}{2}))(x + (frac{2}{3})) = 0
x(x + (frac{2}{3})) – (frac{1}{2}(x + frac{2}{3})) = 0
x2 + (frac{4x – 3x}{6} – frac{2}{6} = 0)
(x^2 + frac{x}{6} – 2 = 0)
6x2 + x – 2 = 0