Solve y=-(x-1)(x+4)?

$$y = - ( x - 1 ) ( x + 4 ) ?$$

Solve for y

$$y=-\left(x-1\right)\left(x+4\right)$$

Solution Steps

To find the opposite of x-1, find the opposite of each term.

$$y=\left(-x+1\right)\left(x+4\right)$$

Use the distributive property to multiply -x+1 by x+4 and combine like terms.

$$y=-x^{2}-3x+4$$

Solve for x (complex solution)

$$x=\frac{\sqrt{25-4y}-3}{2}$$

$$x=\frac{-\sqrt{25-4y}-3}{2}$$

Solve for x

$$x=\frac{\sqrt{25-4y}-3}{2}$$

$$x=\frac{-\sqrt{25-4y}-3}{2}\text{, }y\leq \frac{25}{4}$$