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x-y-z-gt-0-x-y-2-z-3-3-y-z-2-x-3-3-z-x-2-y-3-3-x-y-z-




Question Number 147842 by mathdanisur last updated on 23/Jul/21
x ; y ; z > 0   { ((x+y^2 +z^3  = 3)),((y+z^2 +x^3  = 3)),((z+x^2 +y^3  = 3)) :}  ⇒  x ; y ; z = ?
$${x}\:;\:{y}\:;\:{z}\:>\:\mathrm{0} \\ $$$$\begin{cases}{{x}+{y}^{\mathrm{2}} +{z}^{\mathrm{3}} \:=\:\mathrm{3}}\\{{y}+{z}^{\mathrm{2}} +{x}^{\mathrm{3}} \:=\:\mathrm{3}}\\{{z}+{x}^{\mathrm{2}} +{y}^{\mathrm{3}} \:=\:\mathrm{3}}\end{cases}\:\:\Rightarrow\:\:{x}\:;\:{y}\:;\:{z}\:=\:? \\ $$
Commented by mr W last updated on 23/Jul/21
x=y=z=1
$${x}={y}={z}=\mathrm{1} \\ $$
Commented by mathdanisur last updated on 23/Jul/21
Thank you Sir, solution
$${Thank}\:{you}\:{Sir},\:{solution} \\ $$

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