Solve y+3=left(8xright)^2+1

$$y+3 = { \left(8x \right) }^{ 2 } +1$$

Solve for y

$$y=64x^{2}-2$$

Solution Steps

Expand \left(8x\right)^{2}.

$$y+3=8^{2}x^{2}+1$$

Calculate 8 to the power of 2 and get 64.

$$y+3=64x^{2}+1$$

Subtract 3 from both sides.

$$y=64x^{2}+1-3$$

Subtract 3 from 1 to get -2.

$$y=64x^{2}-2$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{y+2}}{8}$$

$$x=\frac{\sqrt{y+2}}{8}$$

Solve for x

$$x=\frac{\sqrt{y+2}}{8}$$

$$x=-\frac{\sqrt{y+2}}{8}\text{, }y\geq -2$$