# How do you solve 4x - 2y^2 = 9?

Aug 21, 2015

Without a system of equations, this problem will have infinite sollutions. You cna, however, isolate y to generate a function for the possible sollutions: $y = \pm \sqrt{2 x - \frac{9}{2}}$

#### Explanation:

This is an equation ith two variables. Since it is not set in a system of equations, it can have infinite sollutions. However, not every sollution is possible.
We must generate a function to determine the possible sollutions for this equation. In order to do that, we must isolate y. Follow these steps:

$2 {y}^{2} = 4 x - 9$
${y}^{2} = 2 x - \frac{9}{2}$

The square root is the operation opposite to the power. However, a square root has always two possible answers: one positive and the other negative. Apply the square root in both sides of the equation and the output will be:

$y = \pm \sqrt{2 x - \frac{9}{2}}$