Question

Solve the equation=" \sqrt{x - 6} + 2 = 6" alt=" \sqrt{x - 6} + 2 = 6" align="absmiddle" class="latex-formula">
for the variable.

Answer 1

Explanation:

First you had to square from both sides of equation form.

$(\sqrt{x-6+2})^2=6^2$

Then you expanded form.

$(\sqrt{x-6+2})^2=x-4$

$x-4=36$

$6^2=6*6=36$

Solve by equation form.

$x-4=36$

Add by four from both sides of equation form.

$x-4+4=36+4$

Simplify.

$x=40$

Verified solutions.

$x=40 \boxed{TRUE}$

Final answer: $\boxed{x=40}$

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-Charlie