Question

radical equations (level 1)
question
video examples
solve for x:
\\(\sqrt{4x + 44} + 2 = 10\\)
answer
attempt 1 out of 2
\\(x =\\)
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Explanation:

Step1: Isolate the radical term

Subtract 2 from both sides of the equation $\sqrt{4x + 44} + 2 = 10$ to get the radical term alone.
$\sqrt{4x + 44} = 10 - 2$
$\sqrt{4x + 44} = 8$

Step2: Eliminate the square root

Square both sides of the equation $\sqrt{4x + 44} = 8$ to eliminate the square root.
$(\sqrt{4x + 44})^2 = 8^2$
$4x + 44 = 64$

Step3: Solve for x

Subtract 44 from both sides:
$4x = 64 - 44$
$4x = 20$
Then divide both sides by 4:
$x = \frac{20}{4}$
$x = 5$

Answer:

5