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Question Number 107064 by mathocean1 last updated on 08/Aug/20

Solve in R  x+(√(−x^2 +x+6))=(√(2x(√(x^2 +x+6))−x))

$${Solve}\:{in}\:\mathbb{R} \\ $$$${x}+\sqrt{−{x}^{\mathrm{2}} +{x}+\mathrm{6}}=\sqrt{\mathrm{2}{x}\sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{6}}−{x}} \\ $$

Answered by Her_Majesty last updated on 09/Aug/20

defined for 0≤x≤3  we can only approximate  I get x≈2.444955781

$${defined}\:{for}\:\mathrm{0}\leqslant{x}\leqslant\mathrm{3} \\ $$$${we}\:{can}\:{only}\:{approximate} \\ $$$${I}\:{get}\:{x}\approx\mathrm{2}.\mathrm{444955781} \\ $$

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