Question

If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.

Options

• `4/3`

• `(-4)/3`

• `2/3`

• `(-2)/3`

Answer 1

If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is `underline(4/3)`.

Explanation:

(k - 1)² + kx + 1

One zero is – 3, so it must satisfy the equation and make it zero.

∴ (k - 1) (- 3)² + k(-3) + 1 =0

⇒ 9k - 9 - Ik + 1 = 0

⇒ 6k - 8 = 0

`=> "k" = 8/6 = 4/3`