how do i solve this?

## Solve by the square root property. (-x^2+1)^2 = 4

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# 1 Answer

By the square root property, the first step is to square root both sides, giving us:

-x^2 + 1 = 2 OR -x^2 + 1 = - 2

Solving for x in the first equations gives us -x^2 = 1, so x^2 = - 1. This is impossible unless we are solving over complex numbers. If we are, then x = i, - i.

Now let's turn to the second equation. -x^2 = - 3, so x^2 = 3, and x = √3 or - √3.