Question

solve.
\\(\sqrt3{7x - 1} - 3 = 0\\)

select the correct choice below and fill in any answer boxes present in your choice.

a. \\(x = \\) (simplify your answer. use a comma to separate answers as needed.)

b. there is no solution.

Explanation:

Step1: Isolate the cube root

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

Step2: Cube both sides

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

Step3: Solve for x

$7x = 27 + 1$
$7x = 28$
$x = \frac{28}{7}$

Answer:

A. $x = 4$