Solve x/2+y^4+z=-34

$$\frac { x } { 2 } + y ^ { 4 } + z = - 34$$

Solve for x

$$x=-2y^{4}-2z-68$$

Solution Steps

Multiply both sides of the equation by 2.

$$x+2y^{4}+2z=-68$$

Subtract 2y^{4} from both sides.

$$x+2z=-68-2y^{4}$$

Subtract 2z from both sides.

$$x=-68-2y^{4}-2z$$

Solve for y (complex solution)

$$y=\frac{2^{\frac{3}{4}}i\sqrt[4]{-x-2z-68}}{2}$$

$$y=\frac{2^{\frac{3}{4}}\sqrt[4]{-x-2z-68}}{2}$$

$$y=-\frac{2^{\frac{3}{4}}\sqrt[4]{-x-2z-68}}{2}$$

$$y=-\frac{2^{\frac{3}{4}}i\sqrt[4]{-x-2z-68}}{2}$$

Solve for y

$$y=\frac{2^{\frac{3}{4}}\sqrt[4]{-x-2z-68}}{2}$$

$$y=-\frac{2^{\frac{3}{4}}\sqrt[4]{-x-2z-68}}{2}\text{, }x\leq -2z-68$$