Question

If 1 is a root of the quadratic equation, ky² + ky + 3 = 0, then the value of k is ______.

Options

• `-2/3`

• `-1/3`

• `-1/2`

• `-3/2`

Answer 1

If 1 is a root of the quadratic equation, ky² + ky + 3 = 0, then the value of k is `underlinebb(-3/2)`.

Explanation:

Given,

1 is a root of the quadratic equation, ky² + ky + 3 = 0.

Substituting value of y = 1 in equation:

⇒ k(1)² + k(1) + 3 = 0

⇒ k + k + 3 = 0

⇒ 2k + 3 = 0

⇒ 2k = –3

⇒ `k = -3/2`