Question

Solve for
$x:\sqrt{x+4}+x=8$

Answer 1

$\sqrt{x+4}+x=8$ ___ (1)

$\Rightarrow \sqrt{x+4}=8-x$

$\Rightarrow (x+4)=(8-x{)}^2=x^2-16x+64$

$\Rightarrow x^2-17x+60=0$

$\Rightarrow x^2-12x-5x+60=0$

$\Rightarrow x(x-12)-5(x-12)=0$

$\Rightarrow x=5,x=12$

$x=5$ satisfies $e{q}^n\left(1\right)$