Solve A=pi(x^2-12x+36)

$$A = \pi ( x ^ { 2 } - 12 x + 36 )$$

Solve for A

$$A=\pi \left(x-6\right)^{2}$$

Solution Steps

Use the distributive property to multiply \pi by x^{2}-12x+36.

$$A=\pi x^{2}-12\pi x+36\pi$$

Solve for x (complex solution)

$$x=\sqrt{\frac{A}{\pi }}+6$$

$$x=-\sqrt{\frac{A}{\pi }}+6$$

Solve for x

$$x=\sqrt{\frac{A}{\pi }}+6$$

$$x=-\sqrt{\frac{A}{\pi }}+6\text{, }A\geq 0$$