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

1 answer:

4 0

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,

$x = 16$

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