Question

$$y = ( 2 x ^ { 2 } + \frac { 3 } { 4 } x + 7 ) ^ { 8 }$$

Solve for x

$x=\frac{-\sqrt{128\sqrt[8]{y}-887}-3}{16}$
$x=\frac{\sqrt{128\sqrt[8]{y}-887}-3}{16}\text{, }y\geq \frac{383167758718722622528321}{72057594037927936}$

Solve for y

$y=\frac{\left(8x^{2}+3x+28\right)^{8}}{65536}$