Question

The roots of the quadratic equation 2x² – x – 6 = 0 are:

Options

• `-2, 3/2`

• `2, (-3)/2`

• `-2, (-3)/2`

• `2, (3)/2`

Answer 1

`bb(2, (-3)/2)`

Explanation:

Factor 2x² – x – 6 = 0 by splitting the middle term: 

2x² – x − 6 = 2x² – 4x + 3x – 6

= 2x(x – 2) + 3(x – 2)

= (x – 2)(2x + 3) 

Thus x = 2 or 2x + 3 = 0 → x = `(-3)/2`.