Answer
$x=\frac{1-\sqrt 7}{5},\frac{1+\sqrt 7}{5}$
Work Step by Step
$(5x-1)^{2}=7$
$5x-1=\sqrt 7$
$5x-1=\sqrt -7$
$x=\frac{1-\sqrt 7}{5},\frac{1+\sqrt 7}{5}$
Take the square root of both sides. Then isolate $x$ from both of the resulting equations to get two answers.