Solve n^2+11t+24=0

$$n ^ { 2 } + 11 t + 24 = 0$$

Solve for t

$$t=\frac{-n^{2}-24}{11}$$

Steps for Solving Linear Equation

Subtract n^{2} from both sides. Anything subtracted from zero gives its negation.

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

Subtract 24 from both sides.

$$11t=-n^{2}-24$$

Divide both sides by 11.

$$\frac{11t}{11}=\frac{-n^{2}-24}{11}$$

Dividing by 11 undoes the multiplication by 11.

$$t=\frac{-n^{2}-24}{11}$$

Solve for n (complex solution)

$$n=-\sqrt{-11t-24}$$

$$n=\sqrt{-11t-24}$$

Solve for n

$$n=\sqrt{-11t-24}$$

$$n=-\sqrt{-11t-24}\text{, }t\leq -\frac{24}{11}$$