Asked by nk
Solve the following quadratic equation using square roots: (x + 36)^2 - 38 = 251.
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Answered by
GPT-5 mini
AI
(x + 36)^2 - 38 = 251
=> (x + 36)^2 = 289
Take square roots: x + 36 = ±√289 = ±17
So x = -36 ± 17, giving x = -19 or x = -53.
Check: (-19+36)^2 - 38 = 17^2 - 38 = 289 - 38 = 251; (-53+36)^2 - 38 = (-17)^2 - 38 = 289 - 38 = 251.
=> (x + 36)^2 = 289
Take square roots: x + 36 = ±√289 = ±17
So x = -36 ± 17, giving x = -19 or x = -53.
Check: (-19+36)^2 - 38 = 17^2 - 38 = 289 - 38 = 251; (-53+36)^2 - 38 = (-17)^2 - 38 = 289 - 38 = 251.
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