Question

Which of the following is a solution of the quadratic equation 2x² + x – 6 = 0 * 1 point (a) x = 2 (b) x = –12 (c) x = 3/2 (d) x = –3

Answer 1

Answer: (c) x = 3/2

Explanation:

Given,

$2x^{2} +x-6$

By splitting the middle term method,

$2x^{2}+4x-3x-6\\ 2x(x+2)-3(x+2)\\(2x-3)(x+2)$  

By zero product property,

$x+2=0,2x-3\\x=-2, x=\frac{3}{2}$              

Hence, the root of the quadratic equation are $-2$ and $\frac{3}{2}$ respectively.

According to the question,

x = -2 is not given. Therefore, (c) x = -3/2 is the correct answer.