Question

question
solve for x:
\\(\sqrt{5x - 26} + 4 = 7\\)
answer
attempt 1 out of 2
\\(x = \square\\) submit answer

Explanation:

Step1: Isolate the square root term

Subtract 4 from both sides of the equation $\sqrt{5x - 26} + 4 = 7$ to get $\sqrt{5x - 26} = 7 - 4$.
Simplifying the right side gives $\sqrt{5x - 26} = 3$.

Step2: Eliminate the square root

Square both sides of the equation $\sqrt{5x - 26} = 3$ to obtain $(\sqrt{5x - 26})^2 = 3^2$.
This simplifies to $5x - 26 = 9$.

Step3: Solve for x

Add 26 to both sides of the equation $5x - 26 = 9$: $5x = 9 + 26$.
Simplifying the right side gives $5x = 35$.
Divide both sides by 5: $x = \frac{35}{5}$.
Simplifying the fraction gives $x = 7$.

Answer:

7