Use the quadratic formula to solve for y in terms of x . Then use a graphing utility to graph the equation.

Question

Quizplus · Accepted Answer

Using the quadratic formula, we have: 
$$y = \frac{-b \pm \sqrt{b^2-4ac}}{2a} = \frac{-3x \pm \sqrt{9x^2-4(6)(-5x)}}{2(6)} = \frac{-3x \pm \sqrt{9x^2+120x}}{12}$$
Simplifying further, we get: 
$$y = \frac{-x}{4} \pm \frac{\sqrt{x^2+40x}}{4} = -\frac{1}{4}(x \pm \sqrt{x^2+40x})$$
The graphing of this equation can be seen here: 
![Graph of y = -1/4(x+sqrt(x^2+40x))](https://i.imgur.com/sKvkhbO.png)

Use the Quadratic Formula to Solve for Y in Terms