Solve a/3+2c^2=26

$$\frac { a } { 3 } + 2 c ^ { 2 } = 26$$

Solve for a

$$a=78-6c^{2}$$

Solution Steps

Multiply both sides of the equation by 3.

$$a+6c^{2}=78$$

Subtract 6c^{2} from both sides.

$$a=78-6c^{2}$$

Solve for c (complex solution)

$$c=-\frac{\sqrt{468-6a}}{6}$$

$$c=\frac{\sqrt{468-6a}}{6}$$

Solve for c

$$c=\frac{\sqrt{468-6a}}{6}$$

$$c=-\frac{\sqrt{468-6a}}{6}\text{, }a\leq 78$$