Question

solve :5m2 -22m-15 =0​

Answer 1

So m value will either be 5 or -3/5.

Answer 2

$5m { }^{2} = 22m + 15$

$\therefore5m {}^{2} - 22m - 15 = 0$

$\therefore5m {}^{2} - 25m - 15 = 0$

$\therefore5m(m - 5) + (m - 5) = 0$

$\therefore(m - 5)(5m + 3) = 0$

$\therefore \ m- 5 = 0 \: or \: 5m + 3 = 0$

$\therefore \: m = 5 \: or \: 5m = - 3$

$\therefore \: m = - \frac{3}{5}$

$ans.5 \: and \:\frac{3}{5} \: are \: \\ the \: roots \: \\ of \: the \: given \: \\ quadratic \: equation.$