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9: Solve the equation using inverse operations.

(x+4)^(2)-36=0

$9$ : Solve the equation using inverse operations. $\newline$ $(x+4)^{2}-36=0$

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Write inverse variation equations

Full solution

Q.

9

: Solve the equation using inverse operations.

\newline

(x+4)^{2}-36=0

Add $36$ to isolate squared term: First, let's add $36$ to both sides to isolate the squared term. $\newline$ $(x+4)^2 = 36$
Take square root to solve: Now, take the square root of both sides to solve for $x+4$ . $x+4 = \pm 6$
Subtract $4$ to find x: Next, subtract $4$ from both sides to solve for x. $\newline$ $x = \pm 6 - 4$
Calculate possible values for x: Finally, calculate the two possible values for $x$ . $x = 6 - 4$ or $x = -6 - 4$ $x = 2$ or $x = -10$

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