Question

question
solve for x:
\\(\sqrt{5x + 56} - 3 = 1\\)
answer attempt 1 out of 10
x = input box submit answer

Explanation:

Step1: Isolate the square root term

Add 3 to both sides of the equation $\sqrt{5x + 56}-3 = 1$ to get $\sqrt{5x + 56}=1 + 3$.
$\sqrt{5x + 56}=4$

Step2: Eliminate the square root

Square both sides of the equation $\sqrt{5x + 56}=4$ to obtain $5x + 56 = 4^2$.
$5x + 56 = 16$

Step3: Solve for x

Subtract 56 from both sides: $5x=16 - 56$.
$5x=-40$
Then divide both sides by 5: $x=\frac{-40}{5}$.
$x = - 8$

Answer:

-8