Question

`x^2+8x-2=0`

Answer 1

`x^2+8x-2=0` 

⇒`x^2+8x=2` 

⇒`x^2+2xx x xx4+4^2=2+4^2` 

⇒`(x+4)^2=2+16=18` 

⇒`x+4=+-sqrt18=+-3sqrt2` 

⇒`x+4=3sqrt2  or  x+4=-3sqrt2` 

⇒`x=-4+3sqrt2  or  x=-4-3sqrt2` 

Hence, `(-4+3sqrt2) and  (-4-3sqrt2)` are the roots of the given equation.