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

Without a system of equations, this problem will have infinite sollutions. You cna, however, isolate y to generate a function for the possible sollutions:

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:

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:

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To solve the equation 4x - 2y^2 = 9 for ( x ), first isolate ( x ) by moving the terms not containing ( x ) to the other side of the equation. Then, divide both sides by the coefficient of ( x ).

[ 4x - 2y^2 = 9 ]

[ 4x = 9 + 2y^2 ]

[ x = \frac{9 + 2y^2}{4} ]

So, the solution for ( x ) is ( x = \frac{9 + 2y^2}{4} ).

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