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
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #22093)