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Prove that x^5+ax³+bx+c=0 has exactly one solution for a＞0,b＞0

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Prove that x^5+ax³+bx+c=0 has exactly one solution for a＞0,b＞0​

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Prove that x^5+ax³+bx+c=0 has exactly one solution for a＞0,b＞0