Question

Which of the following is a root of the quadratic equation, 3x² + 13x + 14 = 0?

Options

• `-1/3`

• `-3/2`

• `-5/3`

• `-7/3`

Answer 1

`bb(-7/3)`

Explanation:

Given,

⇒ 3x² + 13x + 14 = 0

⇒ 3x² + 6x + 7x + 14 = 0

⇒ 3x(x + 2) + 7(x + 2) = 0

⇒ (3x + 7)(x + 2) = 0

⇒ 3x + 7 = 0 or x + 2 = 0   ...[Using zero-product rule]

⇒ 3x = –7 or x = –2

⇒ x = `-7/3` or x = –2