Question

`x^2=18x-77` 

 

Answer 1

`x^2=18x-77` 

`⇒x^2-18x+77=0` 

`⇒x^2-(11x+7x)+77=0` 

`⇒x^2-11x-7x+77=0` 

`⇒x(x-11)-7(x-11)=0` 

`⇒(x-7)(x-11)=0` 

`⇒x-7=0 or x-11=0` 

`⇒x=7 or x=11` 

Hence, 7 and 11 are the roots of the equation `x^2=18xx77`