Question

`4x^2-9x=100`

Answer 1

`4x^2-9x=100` 

`⇒4x^2-9x-100=0` 

`⇒4x^2-(25x-16x)-100=0` 

`⇒4x^2-25x-16x-100=0` 

`⇒x(4x-25)+4 (4x-25)=0`

`⇒(4x-25)(x+4)=0` 

`⇒4x-25=0 or x+4=0` 

`⇒x=25/4 or x=-4 ` 

Hence, the roots of the equation are `25/4` and -4