Question

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

Answer 1

$\sqrt{2x+9}+x=13$

$\sqrt{2x+9}=13-x$

squaring on both sides, we get

$2x+9=169-26x+x^2$

$x^2-28x+160=0$

$x=\frac{-(-28)\pm \sqrt{{(-28)}^2-4\cdot 1\cdot 160}}{2\cdot 1}$

$x=8,20$