Complete the square to identify the two values that solve the following quadratic equation: x^2−16x−13=4 .(1 point) x=
To complete the square, we want to rewrite the equation in the form (x - h)^2 = k, where h and k are constants.
First, move the constant term to the other side of the equation:
x^2 - 16x - 13 - 4 = 0
x^2 - 16x - 17 = 0
Next, take half of the coefficient of x (-16/2 = -8) and square it to get 64. Add this value to both sides of the equation:
x^2 - 16x + 64 - 17 + 64 = 0
x^2 - 16x + 64 + 47 = 0
(x - 8)^2 + 47 = 0
Now, we can see that h = 8 and k = -47.