You can put this solution on YOUR website! How would I solve for "x" in the problem "x^3=-27"?
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x^3 + 27 = 0
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Factor::
(x+3)(x^2 - 3x + 9) = 0
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x = -3 is the Real Number solution.
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Solve the quadratic::
x = [3 +- sqrt(9-4*9)]/2
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x = [3 +-sqrt(-27)]/2
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x = [3 +- 3isqrt(3)]/2
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x = (3/2)(1+isqrt(3)) or (3/2)(1-isqrt(3))
Those are the Complex Number solutions.
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Cheers,
Stan H.