Solved the equation (2x^2 – x – 6) = 0
-
A.
x = (frac{-3}{2}) or 2 -
B.
x = -2 or (frac{3}{2}) -
C.
x = -3 or 2 -
D.
x = 3 or -2
Correct Answer: Option A
Explanation
(2x^2 – x – 6) = 0
(2x^2 – 4x + 3x – 6) = 0
2x(x – 2) + 3(x – 2) = 0
(2x + 3) (x – 2) = 0
Either; 2x + 3 = 0 or x – 2 = 0
x = (frac{-3}{2}) or x = 2