Solve SA^2=144*2+81

$$S A ^ { 2 } = 144 \cdot 2 + 81$$

Solve for S

$$S=\frac{369}{A^{2}}$$

$$A\neq 0$$

Steps for Solving Linear Equation

Multiply 144 and 2 to get 288.

$$SA^{2}=288+81$$

Add 288 and 81 to get 369.

$$SA^{2}=369$$

The equation is in standard form.

$$A^{2}S=369$$

Divide both sides by A^{2}.

$$\frac{A^{2}S}{A^{2}}=\frac{369}{A^{2}}$$

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

$$S=\frac{369}{A^{2}}$$

Solve for A

$$A=3\sqrt{\frac{41}{S}}$$

$$A=-3\sqrt{\frac{41}{S}}\text{, }S>0$$