Question

Solve for x, given the equation Square root of x plus 9 − 4 = 1.

Answer 1

ANSWER

The value of x is
$16.$


EXPLANATION

We want to solve the equation,


$\sqrt{x + 9} - 4 = 1$

The first step is to add 4 to both sides of the equation to obtain,


$\sqrt{x + 9} = 1 + 4$



We simplify the right hand side to obtain,


$\sqrt{x + 9} = 5$



We now square both sides of the equation to obtain,



$(\sqrt{x + 9} ) ^{2} = {5}^{2}$



This simplifies to


$x + 9= 25$



We solve for x to obtain,



$x = 25 - 9$


This implies that,


$x = 16$