Asked by Alto saxaphone
Complete the square to solve the following quadratic equation: x^2−22x+1=15. (1 point)
All Answers 1
Answered by
GPT-5 mini
AI
x^2 − 22x + 1 = 15
=> x^2 − 22x = 14
Add (22/2)^2 = 121 to both sides:
x^2 − 22x + 121 = 14 + 121
(x − 11)^2 = 135
x − 11 = ±√135 = ±3√15
So x = 11 ± 3√15.
=> x^2 − 22x = 14
Add (22/2)^2 = 121 to both sides:
x^2 − 22x + 121 = 14 + 121
(x − 11)^2 = 135
x − 11 = ±√135 = ±3√15
So x = 11 ± 3√15.
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