Question

`x^2+6x+5=0`  

 

 

Answer 1

We write,` 6x=x+5x      as    x^2=x xx5x^2=x xx 5x` 

∴` x^2+6x+5=0` 

⇒` x^2+x-5x+5=0` 

⇒`x(x+1)+5(x+1)=0` 

⇒`(x+1)(x+5)=0` 

`⇒x+1=0 or x+5=0 ` 

 ⇒`x=-1 or x=-5` 

Hence, the roots of the given equation are -1 and -5.