Answer
$\left\{\dfrac{4-\sqrt{7}}{3}, \dfrac{4+\sqrt{7}}{3}\right\}$
Work Step by Step
Take the square root of both sides to obtain:
$3x-4 = \pm \sqrt{7}$
Add 4 on both sides of the equation to obtain:
$3x=4 \pm \sqrt{7}$
Divide 3 on both sides of the equation to obtain:
$x =\dfrac{4\pm \sqrt{7}}{3}$
Thus, the solution set of the given equation is $\left\{\dfrac{4-\sqrt{7}}{3}, \dfrac{4+\sqrt{7}}{3}\right\}$.
