Find the value of m so that the quadratic equation mx(5x − 6) + 9 = 0 has two equal roots.
=`"5mx"^2` - 6mx + 9 = 0
We Know that,
`"b"^2` - 4ac = 0
= (`"-6m"^2`) - 4(5m)(9) = 0
= 36m(m - 5) = 0
= m = 0, 5
rejecting m=0, we get m = 5
Therefore, the value of m is 5, so that the quadratic equation mx(5x − 6) + 9 = 0 has two equal roots.
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