Question

question
solve for x:
\sqrt{x + 7} - 14 = -11
answer attempt 1 out of 10
x =
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Explanation:

Step1: Isolate the square root term

Add 14 to both sides of the equation $\sqrt{x + 7}-14=-11$ to isolate the square root.
$\sqrt{x + 7}-14 + 14=-11 + 14$
$\sqrt{x + 7}=3$

Step2: Eliminate the square root

Square both sides of the equation $\sqrt{x + 7}=3$ to get rid of the square root.
$(\sqrt{x + 7})^2 = 3^2$
$x + 7 = 9$

Step3: Solve for x

Subtract 7 from both sides of the equation $x + 7 = 9$ to solve for x.
$x + 7-7 = 9-7$
$x = 2$

Answer:

$x = 2$