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