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

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

Solve for y

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

Solution Steps

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

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

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

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

Solve for x (complex solution)

$$x=\frac{\sqrt{8y+9}-1}{2}$$

$$x=\frac{-\sqrt{8y+9}-1}{2}$$

Solve for x

$$x=\frac{\sqrt{8y+9}-1}{2}$$

$$x=\frac{-\sqrt{8y+9}-1}{2}\text{, }y\geq -\frac{9}{8}$$