Solve AB^2=1500^2+1800^2

$$A B ^ { 2 } = 1500 ^ { 2 } + 1800 ^ { 2 }$$

Solve for A

$$A=\frac{5490000}{B^{2}}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Calculate 1500 to the power of 2 and get 2250000.

$$AB^{2}=2250000+1800^{2}$$

Calculate 1800 to the power of 2 and get 3240000.

$$AB^{2}=2250000+3240000$$

Add 2250000 and 3240000 to get 5490000.

$$AB^{2}=5490000$$

The equation is in standard form.

$$B^{2}A=5490000$$

Divide both sides by B^{2}.

$$\frac{B^{2}A}{B^{2}}=\frac{5490000}{B^{2}}$$

Dividing by B^{2} undoes the multiplication by B^{2}.

$$A=\frac{5490000}{B^{2}}$$

Solve for B

$$B=300\sqrt{\frac{61}{A}}$$

$$B=-300\sqrt{\frac{61}{A}}\text{, }A>0$$