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Question
Find the value of ๐ so that the quadratic equation ๐๐ฅ(5๐ฅ − 6) = 0 has two equal roots.
Solution
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
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