Solve n^2-11n+24=y

$$n ^ { 2 } - 11 n + 24 = y$$

Solve for y

$$y=\left(n-8\right)\left(n-3\right)$$

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$y=n^{2}-11n+24$$

Solve for n (complex solution)

$$n=\frac{\sqrt{4y+25}+11}{2}$$

$$n=\frac{-\sqrt{4y+25}+11}{2}$$

Solve for n

$$n=\frac{\sqrt{4y+25}+11}{2}$$

$$n=\frac{-\sqrt{4y+25}+11}{2}\text{, }y\geq -\frac{25}{4}$$