Question

The value of k for which the equation kx² − 6x + 1 = 0 has equal roots is ______.

Options

• −3

• 3

• 9

• `1/9`

Answer 1

The value of k for which the equation kx² − 6x + 1 = 0 has equal roots is 9.

Explanation:

Given:

kx² − 6x + 1 = 0

For a quadratic ax² + bx + c = 0, roots are equal when:

b² − 4ac = 0

a = k, b = −6, c = 1

(−6)² − 4(k) (1) = 0

36 − 4k = 0

4k = 36

k = 9