Question

For what value of k, are the roots of the quadratic equation kx (x − 2) + 6 = 0 equal ?

Answer 1

The given quadratic equation is k x (x − 2) + 6 = 0.

This equation can be rewritten as kx² − 2kx + 6 = 0.

For equal roots, it discriminate, D = 0.

⇒ b² − 4ac = 0, where a = k, b = −2k and c = 6.

⇒ 4k² − 24k = 0

⇒ 4k(k− 6) = 0

⇒ k = 0 or k = 6

But k cannot be 0, so the value of k is 6