Solve y=n^2-8n/2

$$y = \frac { n ^ { 2 } - 8 n } { 2 }$$

Solve for y

$$y=\frac{n\left(n-8\right)}{2}$$

Solution Steps

Divide each term of n^{2}-8n by 2 to get \frac{1}{2}n^{2}-4n.

$$y=\frac{1}{2}n^{2}-4n$$

Solve for n (complex solution)

$$n=\sqrt{2\left(y+8\right)}+4$$

$$n=-\sqrt{2\left(y+8\right)}+4$$

Solve for n

$$n=\sqrt{2\left(y+8\right)}+4$$

$$n=-\sqrt{2\left(y+8\right)}+4\text{, }y\geq -8$$