Question

Complete the square to identify the two values that solve the following quadratic equation: x2−16x−13=4
𝑥
2
−
16
𝑥
−
13
=
4
. Enter the two solutions separated by a comma.(1 point)
x=
𝑥
=

Answer 1

x^2 − 16x − 13 = 4
=> x^2 − 16x − 17 = 0
=> x^2 − 16x + 64 = 81 (add 64 to both sides)
=> (x − 8)^2 = 81
=> x − 8 = ±9
=> x = 8 ± 9, so x = 17, −1