Solved on Mar 07, 2024

Solve for the value of xx given the equation 15=9+x15=9+\sqrt{x}.

STEP 1

Assumptions
1. We are given the equation 15=9+x15=9+\sqrt{x}.
2. We need to solve for xx.

STEP 2

Isolate the square root term on one side of the equation.
x=159\sqrt{x} = 15 - 9

STEP 3

Calculate the value after subtracting 9 from 15.
x=6\sqrt{x} = 6

STEP 4

Square both sides of the equation to eliminate the square root.
(x)2=62(\sqrt{x})^2 = 6^2

STEP 5

Simplify both sides of the equation.
x=36x = 36
The solution for xx is 36.

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