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

The roots of the quadratic equation 2x² – x – 6 = 0 are `underlinebb(2, (-3)/2)`.

Explanation:

The given quadratic equation is 2x² – x – 6 = 0

2x² – x – 6 = 0 

⇒ 2x² – 4x + 3x – 6 = 0 

⇒ 2x(x – 2) + 3(x – 2) = 0 

⇒ (x – 2) (2x + 3) = 0 

⇒ x – 2 = 0 or 2x + 3 = 0 

⇒ x = 2 or x = `(-3)/2` 

Thus, the roots of the given equation are 2 and `(-3)/2` 

Hence, the correct answer is option B.