The Question : Find the value of m so that the quadratic equation mx(5x − 6) + 9 = 0 has two equal roots.
Solution for the question :
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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