Question

find the value of m so that mx (5x-6)+9=0 has two equal roots

Answer 1

mx(5x-6)+9=0
=> 5mx²-6mx+9=0
for the two roots to be equal,
$- \frac{b}{a} = \frac{c}{a}$
therefore,
$\frac{6m}{5m } = \frac{9}{5m}$
$= > \: m = \frac{3}{2}$