Answer
$\frac{1+5\sqrt 5}{2}, \frac{1-5\sqrt 5}{2}$
Work Step by Step
$x^2-x-22=27^\frac{2}{3}=9$
$x^2-x-31=0$
Using the discriminant formula :
x = $\frac{1+5\sqrt 5}{2}$ or $ \frac{1-5\sqrt 5}{2}$
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