Find the value of m so that the quadratic equation mx(5x - 6) = 0 has two equal roots.
Find the value of m so that the quadratic equation mx(5x - 6) = 0 has two equal roots.
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Answer to the given question is m=0, and for
no non zero value of m the equation have equal roots..
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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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