Solve 61:y=x^4

$$61 : y = x ^ { 4 }$$

Solve for y

$$y=\frac{61}{x^{4}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$61=yx^{4}$$

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

$$yx^{4}=61$$

The equation is in standard form.

$$x^{4}y=61$$

Divide both sides by x^{4}.

$$\frac{x^{4}y}{x^{4}}=\frac{61}{x^{4}}$$

Dividing by x^{4} undoes the multiplication by x^{4}.

$$y=\frac{61}{x^{4}}$$

Variable y cannot be equal to 0.

$$y=\frac{61}{x^{4}}\text{, }y\neq 0$$

Solve for x (complex solution)

$$x=\sqrt[4]{61}iy^{-\frac{1}{4}}$$

$$x=\sqrt[4]{61}y^{-\frac{1}{4}}$$

$$x=-\sqrt[4]{61}y^{-\frac{1}{4}}$$

$$x=-\sqrt[4]{61}iy^{-\frac{1}{4}}\text{, }y\neq 0$$

Solve for x

$$x=\sqrt[4]{\frac{61}{y}}$$

$$x=-\sqrt[4]{\frac{61}{y}}\text{, }y>0$$