Question
The solution to the equation x^3 = 125 is:
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GPT-5 mini
Real solution: x = 5.
All complex solutions: factor x^3 − 125 = (x − 5)(x^2 + 5x + 25) = 0, so
x = 5, x = −5/2 + (5√3/2) i, x = −5/2 − (5√3/2) i
(or x = 5 e^{2πik/3} for k = 0,1,2).
All complex solutions: factor x^3 − 125 = (x − 5)(x^2 + 5x + 25) = 0, so
x = 5, x = −5/2 + (5√3/2) i, x = −5/2 − (5√3/2) i
(or x = 5 e^{2πik/3} for k = 0,1,2).
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