Question

Solve for $x:\sqrt{2x+9}+x=13$

Answer 1

$\sqrt{(2x+9)}=13-x$
Squaring both sides
$2x+9=(13-x{)}^2$
$2x+9=169-26x+x^2$
$x^2-28x-160$
$x^2-20x-8x-160$
x(x-20) -8(x-20)
(x-8)(x-20)
So, x = 8 and 20