Solve A/OA=sqrt{(5)^2+(-3)^2}

$$\frac { A } { O A } = \sqrt { ( 5 ) ^ { 2 } + ( - 3 ) ^ { 2 } }$$

Solve for A

$$A\neq 0$$

$$O = \frac{\sqrt{34}}{34} = 0.17149858514250885$$

Steps for Solving Linear Equation

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

$$A=AO\sqrt{5^{2}+\left(-3\right)^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$A=AO\sqrt{25+\left(-3\right)^{2}}$$

Calculate -3 to the power of 2 and get 9.

$$A=AO\sqrt{25+9}$$

Add 25 and 9 to get 34.

$$A=AO\sqrt{34}$$

Subtract AO\sqrt{34} from both sides.

$$A-AO\sqrt{34}=0$$

Reorder the terms.

$$-\sqrt{34}AO+A=0$$

Combine all terms containing A.

$$\left(-\sqrt{34}O+1\right)A=0$$

Divide 0 by -\sqrt{34}O+1.

$$A=0$$

Variable A cannot be equal to 0.

$$A\in \emptyset$$

Solve for O

$$O = \frac{\sqrt{34}}{34} = 0.17149858514250885$$

$$A\neq 0$$

Steps for Solving Linear Equation

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

$$A=AO\sqrt{5^{2}+\left(-3\right)^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$A=AO\sqrt{25+\left(-3\right)^{2}}$$

Calculate -3 to the power of 2 and get 9.

$$A=AO\sqrt{25+9}$$

Add 25 and 9 to get 34.

$$A=AO\sqrt{34}$$

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

$$AO\sqrt{34}=A$$

The equation is in standard form.

$$\sqrt{34}AO=A$$

Divide both sides by A\sqrt{34}.

$$\frac{\sqrt{34}AO}{\sqrt{34}A}=\frac{A}{\sqrt{34}A}$$

Dividing by A\sqrt{34} undoes the multiplication by A\sqrt{34}.

$$O=\frac{A}{\sqrt{34}A}$$

Divide A by A\sqrt{34}.

$$O=\frac{\sqrt{34}}{34}$$