Question

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

Answer 1

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=+-sqrt(2x-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:

`2y^2=4x-9`
`y^2=2x-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=+-sqrt(2x-9/2)`