Question

$${ x }^{ 3 } -4 { x }^{ 2 } -x+1= { \left(x-2 \right) }^{ 2 }$$

Solve for x

$x = \frac{\sqrt[3]{18 \sqrt{17} + 98} + \sqrt[3]{98 - 18 \sqrt{17}} + 5}{3} \approx 4.479815749$