Solve the equation using square roots. -x^2+ 16 = 0
To solve the equation -x^2 + 16 = 0 using square roots, we will isolate the variable x.
First, let's move the constant term 16 to the other side of the equation by subtracting it from both sides:
-x^2 = -16
Next, we isolate the variable x by dividing both sides of the equation by -1 to get the x^2 term positive:
x^2 = 16
Now, we can take the square root of both sides of the equation:
√(x^2) = √(16)
Simplifying the square roots:
x = ±√(16)
Now, evaluating the square root of 16:
x = ±4
Therefore, the solutions to the equation -x^2 + 16 = 0 using square roots are x = 4 and x = -4.