Question

Find the value of 𝑚 so that the quadratic equation 𝑚𝑥(5𝑥 − 6) = 0 has two equal roots.

Answer 1

5mx² – 6mx + 9 = 0

b² – 4ac = 0 ⇒ (– 6m)² – 4(5m)(9) = 0

⇒ 36m(m – 5) = 0

⇒ m = 0, 5 ; rejecting m = 0, we get m = 5