Solve y=1/3(x-2)(x+2)

$$y = \frac { 1 } { 3 } ( x - 2 ) ( x + 2 )$$

Solve for y

$$y=\frac{x^{2}-4}{3}$$

Solution Steps

Use the distributive property to multiply \frac{1}{3} by x-2.

$$y=\left(\frac{1}{3}x-\frac{2}{3}\right)\left(x+2\right)$$

Use the distributive property to multiply \frac{1}{3}x-\frac{2}{3} by x+2 and combine like terms.

$$y=\frac{1}{3}x^{2}-\frac{4}{3}$$

Solve for x (complex solution)

$$x=-\sqrt{3y+4}$$

$$x=\sqrt{3y+4}$$

Solve for x

$$x=\sqrt{3y+4}$$

$$x=-\sqrt{3y+4}\text{, }y\geq -\frac{4}{3}$$