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