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Question Number 127968 by liberty last updated on 03/Jan/21

 How many xεR satisfy (x)^(1/7)  −(x)^(1/5)  = (x)^(1/3)  −(√x)

$$\:\mathrm{How}\:\mathrm{many}\:\mathrm{x}\epsilon\mathbb{R}\:\mathrm{satisfy}\:\sqrt[{\mathrm{7}}]{\mathrm{x}}\:−\sqrt[{\mathrm{5}}]{\mathrm{x}}\:=\:\sqrt[{\mathrm{3}}]{\mathrm{x}}\:−\sqrt{\mathrm{x}}\: \\ $$

Answered by MJS_new last updated on 03/Jan/21

x=0∨x≈.0117154773∨x=1

$${x}=\mathrm{0}\vee{x}\approx.\mathrm{0117154773}\vee{x}=\mathrm{1} \\ $$

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