Question

question
solve for x:
\sqrt{5x - 11} - 5 = -3
answer attempt 1 out of 2
x =
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Explanation:

Step1: Isolate the square root term

Add 5 to both sides of the equation $\sqrt{5x - 11} - 5 = -3$ to isolate the square root.
$\sqrt{5x - 11} - 5 + 5 = -3 + 5$
$\sqrt{5x - 11} = 2$

Step2: Eliminate the square root

Square both sides of the equation to eliminate the square root.
$(\sqrt{5x - 11})^2 = 2^2$
$5x - 11 = 4$

Step3: Solve for x

Add 11 to both sides of the equation, then divide by 5.
$5x - 11 + 11 = 4 + 11$
$5x = 15$
$\frac{5x}{5} = \frac{15}{5}$
$x = 3$

Answer:

$x = 3$