How do you solve sqrt(x+7)+2=4?

Oct 12, 2015

$x = - 3$

Explanation:

Re-arranging the equation we get

$\sqrt{x + 7} = 2$

Now squaring both sides we get

$\pm \left(x + 7\right) = 4$

$\therefore x = - 11 \mathmr{and} x = - 3$

Clearly $x \ne - 11$ since this results in a value $\notin \mathbb{R}$

$\therefore x = - 3$