Question

The only value of k for which the quadratic polynomial kx² + x + k has equal zeros is `1/2`

Options

• True

• False

Answer 1

This statement is False.

Explanation:

It is given that the quadratic polynomial kx² + x + k has equal zeroes.

∴ b² – 4ac = 0

i.e., discriminant is zero

`\implies` (1)² – 4(k)(k) = 0

`\implies` 1 – 4k² = 0

`\implies` 4k² = 1

`\implies` k = `1/4`

`\implies` k = `+- 1/2`

So, for two values of k, given quadratic polynomial has equal zeroes.