Solve the equation using square roots.
-x^2+ 16 = 0
To solve the equation -x^2 + 16 = 0 using square roots, we can first isolate the x^2 term by subtracting 16 from both sides:
-x^2 = -16
Next, we can divide both sides by -1 to make the coefficient of x^2 positive:
x^2 = 16
To find the value of x, we can take the square root of both sides:
√(x^2) = √(16)
Simplifying, we have:
x = ±√(16)
x = ±4
Therefore, the solutions to the equation -x^2 + 16 = 0 are x = 4 and x = -4.