Question

solve.
\\(\sqrt3{7x - 1} - 3 = 0\\)
select the correct choice below and fill in any answer boxes present in your choice.
\\(\bigcirc\\) a. \\(x = \square\\) (simplify your answer. use a comma to separate answers as needed.)
\\(\bigcirc\\) b. there is no solution.

Explanation:

Step1: Isolate the cube root

$\sqrt[3]{7x - 1} = 3$

Step2: Cube both sides to eliminate root

$(\sqrt[3]{7x - 1})^3 = 3^3$
$7x - 1 = 27$

Step3: Solve for x (add 1 to both sides)

$7x = 27 + 1$
$7x = 28$

Step4: Divide by 7 to find x

$x = \frac{28}{7}$
$x = 4$

Answer:

A. $x = 4$ (Simplify your answer. Use a comma to separate answers as needed.)