Question

Complete the square to identify the two values that solve the following quadratic equation: x2+8x=9
𝑥
2
+
8
𝑥
=
9
. Enter the two solutions separated by a comma.(1 point)
x=
𝑥
=

Answer 1

x^2 + 8x = 9
Add 16 to both sides (half of 8 squared): x^2 + 8x + 16 = 25
(x + 4)^2 = 25
x + 4 = ±5 ⇒ x = -4 ± 5

Solutions: 1, -9