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Question Number 139124 by 7770 last updated on 22/Apr/21

x^2 +x−2(√x)=36  find x

$${x}^{\mathrm{2}} +{x}−\mathrm{2}\sqrt{{x}}=\mathrm{36} \\ $$$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{x}} \\ $$

Answered by MJS_new last updated on 22/Apr/21

you can only approximate. I get  x≈5.91193369

$$\mathrm{you}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate}.\:\mathrm{I}\:\mathrm{get} \\ $$$${x}\approx\mathrm{5}.\mathrm{91193369} \\ $$

Answered by bramlexs22 last updated on 23/Apr/21

u^4 +u^2 −2u−36=0  u ≈ 2.4314468  x ≈ 5.9119351960

$$\mathrm{u}^{\mathrm{4}} +\mathrm{u}^{\mathrm{2}} −\mathrm{2u}−\mathrm{36}=\mathrm{0} \\ $$$$\mathrm{u}\:\approx\:\mathrm{2}.\mathrm{4314468} \\ $$$$\mathrm{x}\:\approx\:\mathrm{5}.\mathrm{9119351960} \\ $$

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