Question

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

Options

• `2/3, 1/2`

• `-2/3, 1/2`

• `2/3, -1/2`

• `-2/3, -1/2`

Answer 1

`2/3, -1/2`

Explanation:

We have 6x² – x – 2 = 0

⇒ 6x² + 3x – 4x – 2 = 0

⇒ 3x(2x + 1) – 2(2x + 1) = 0

⇒ (2x + 1) (3x – 2) = 0

⇒ 2x + 1 = 0 or 3x – 2 = 0

∴ x = `−1/2`, x = `2/3`