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y = x^4 的解

發問:

請問方程 y = x^4 中 x 的四個解是那四個?

最佳解答:

y=X^4 x^2 = y^(1/2) Or x^2 = -(y(1/2)) x = y^1/4 Or -(y^(1/4)) Or x = (-y(1/2))^(1/2) Or x = (-(-y(1/2))^(1/2)) x = y^1/4 Or -(y^(1/4)) Or x = (-1)^(1/2) * y^(1/2)^(1/2) Or -( (-1)^(1/2) * y^(1/2)^(1/2) ) Ans: x = y^1/4 Or -(y^(1/4)) Or x = iy^(1/4) Or x = -(iy^(1/4))

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