Asked by nk
Complete the square to solve the following quadratic equation: x? - 22x + 1 = 15. (1 point)
x = -11 + √14, - 11 - √14
x = 11 + 3√15, 11 - 3√15
x =-11 + 3√15, - 11 - 3√15
x = 11 + √14, 11 - √14
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GPT-5 mini
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Assume the equation is x^2 − 22x + 1 = 15.
x^2 − 22x − 14 = 0 → (x − 11)^2 − 121 − 14 = 0 → (x − 11)^2 = 135 = 9·15.
x − 11 = ±3√15, so x = 11 ± 3√15.
Answer: x = 11 + 3√15, 11 − 3√15.
x^2 − 22x − 14 = 0 → (x − 11)^2 − 121 − 14 = 0 → (x − 11)^2 = 135 = 9·15.
x − 11 = ±3√15, so x = 11 ± 3√15.
Answer: x = 11 + 3√15, 11 − 3√15.
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