Find the root of the equation 2x(^2) – 3x – 2 = 0
-
A.
x = -2 or 1/2 -
B.
x = -2 or1 -
C.
x = -2 or 2 -
D.
x = -1 or 2 -
E.
x = -1/2 or 2
Correct Answer: Option E
Explanation
2x(^2) – 3x – 2 = 0
2x(^2) – 4x + x – 2 = 0
2x(x – 2) + 1(x – 2) = 0
(2x + 1)(x – 2) = 0
x = (frac{-1}{2}) or x = 2