Question

Find the roots of the following quadratic equations, if they exist, by the method the square:
$x^2+5=-6x$.

Answer 1

$x^2+5=-6x$

$x^2+6x+5=0$

$x^2+6x+9-9+5=0$

$(x+3{)}^2-(2{)}^2=0$

$(x+3-2)(x+3+2)=0$

(x+1)(x+5)

[x=-1]&[x=-5]