Question

If quadratic equation 3x² – 4x + k = 0 has equal roots, then the value of k is ______.

Answer 1

If quadratic equation 3x² – 4x + k = 0 has equal roots, then the value of k is `underlinebb(4/3)`.

Explanation:

Given, quadratic equation is 3x² – 4x + k = 0

On comparing with ax² + bx + c = 0, we get

a = 3, b = – 4 and c = k

For equal roots, b² – 4ac = 0

⇒ (– 4)² – 4(3)(k) = 0

⇒ 16 – 12k = 0

⇒ `k = 16/12`

⇒ `k = 4/3`