What is the solution to the quadratic equation (x−4)^2=16 ? In order to receive full points you need to show your work. You can upload a picture of your work using the photo button or you can type out your work. The E symbol will allow you to type math symbols.
Given equation: (x-4)^2 = 16
Taking the square root of both sides to solve for x:
√((x-4)^2) = ±√16
x - 4 = ±4
Now we solve for x by considering both the positive and negative square root of 16:
For the positive case:
x - 4 = 4
x = 4 + 4
x = 8
For the negative case:
x - 4 = -4
x = -4 + 4
x = 0
Therefore, the solutions to the quadratic equation (x-4)^2 = 16 are x = 8 and x = 0.