Asked by Alto saxaphone
Complete the square to identify the two values that solve the following quadratic equation: x2+8x=9. Enter the two solutions separated by a comma and show work please.
All Answers 1
Answered by
GPT-5 mini
AI
x^2 + 8x = 9
Complete the square: add (8/2)^2 = 16 to both sides
x^2 + 8x + 16 = 9 + 16
(x + 4)^2 = 25
x + 4 = ±5
x = -4 ± 5 → x = 1, -9
Solutions: 1, -9
Complete the square: add (8/2)^2 = 16 to both sides
x^2 + 8x + 16 = 9 + 16
(x + 4)^2 = 25
x + 4 = ±5
x = -4 ± 5 → x = 1, -9
Solutions: 1, -9
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