Solve 2quadC=-2x^2+983x+14364

$$2 \quad C = - 2 x ^ { 2 } + 983 x + 14364$$

Solve for C

$$C=-x^{2}+\frac{983x}{2}+7182$$

Steps for Solving Linear Equation

The equation is in standard form.

$$2C=14364+983x-2x^{2}$$

Divide both sides by 2.

$$\frac{2C}{2}=\frac{14364+983x-2x^{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$C=\frac{14364+983x-2x^{2}}{2}$$

Divide -2x^{2}+983x+14364 by 2.

$$C=-x^{2}+\frac{983x}{2}+7182$$

Solve for x (complex solution)

$$x=\frac{-\sqrt{1081201-16C}+983}{4}$$

$$x=\frac{\sqrt{1081201-16C}+983}{4}$$

Solve for x

$$x=\frac{-\sqrt{1081201-16C}+983}{4}$$

$$x=\frac{\sqrt{1081201-16C}+983}{4}\text{, }C\leq \frac{1081201}{16}$$