Question

5m²=22m+15
solve this quadratic equation​

Answer 1

Answer:

Step-by-step explanation:

It is given that ,

5m² = 22m + 15

5m² - 22m - 15 = 0

Splitting the middle term we get

5m² - 25m + 3m - 15 = 0

5m( m - 5 ) + 3( m - 5 ) = 0

( m - 5 )( 5m + 3 ) = 0

Therefore ,

m - 5 = 0 or 5m + 3 = 0

m = 5 or 5m = -3

m = 5 or m = -3/5

I hope this helps you.

: )

Answer 2

Answer:

$5 {m}^{2} = 22m + 15 \\ 5 {m}^{2} - 22m - 15 = 0 \\ 5 {m}^{2} - 25m + 3m - 15 = 0 \\ 5m(m - 5) + 3(m - 5) = 0 \\ (m - 5)(5m + 3) = 0 \\ m - 5 = 0 \: \: \: \: and \: \: \: \: 5m + 3 = 0 \\ m = 5 \: \: \: \: \: and \: \: \: \: m = \frac{ - 3}{5}$