Solve 5mu=4sqrt{x^2+8}

$$5 \mu = 4 \sqrt { x ^ { 2 } + 8 }$$

Solve for μ

$$\mu =\frac{4\sqrt{x^{2}+8}}{5}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$5\mu =4\sqrt{x^{2}+8}$$

Divide both sides by 5.

$$\frac{5\mu }{5}=\frac{4\sqrt{x^{2}+8}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$\mu =\frac{4\sqrt{x^{2}+8}}{5}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{25\mu ^{2}-128}}{4}$$

$$x=\frac{\sqrt{25\mu ^{2}-128}}{4}\text{, }arg(\mu )<\pi \text{ or }\mu =0$$

Solve for x

$$x=\frac{\sqrt{25\mu ^{2}-128}}{4}$$

$$x=-\frac{\sqrt{25\mu ^{2}-128}}{4}\text{, }\mu \geq \frac{8\sqrt{2}}{5}$$