如何解2t^3-3at^2+a^3=0

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如何解2t^3-3at^2+a^3=0

如何解2t^3-3at^2+a^3=0
如何解2t^3-3at^2+a^3=0

如何解2t^3-3at^2+a^3=0
原式=2t^3-2at^2-at^2+a^3
=2t^2(t-a)-a(t^2-a^2)
=2t^2(t-a)-a(t-a)(t+a)
=(t-a)(2t^2-at-a^2)
=(t-a)(t-a)(2t+a)
=(t-a)^2(2t+a)=0
所以解为 t=a , t=-a/2

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