Solve y=1/2[x+1)(x-5)

$$y = \frac { 1 } { 2 } [ x + 1 ) ( x - 5 )$$

Solve for y

$$y=\frac{\left(x-5\right)\left(x+1\right)}{2}$$

Solution Steps

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

$$y=\left(\frac{1}{2}x+\frac{1}{2}\right)\left(x-5\right)$$

Use the distributive property to multiply \frac{1}{2}x+\frac{1}{2} by x-5 and combine like terms.

$$y=\frac{1}{2}x^{2}-2x-\frac{5}{2}$$

Solve for x (complex solution)

$$x=\sqrt{2y+9}+2$$

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

Solve for x

$$x=\sqrt{2y+9}+2$$

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