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x-2-y-2-xy-9-y-2-z-2-yz-16-x-2-z-2-xz-25-xy-yz-xz-




Question Number 141730 by mathdanisur last updated on 22/May/21
x^2 +y^2 +xy=9  y^2 +z^2 +yz=16  x^2 +z^2 +xz=25  xy+yz+xz=?
$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{xy}=\mathrm{9} \\ $$$${y}^{\mathrm{2}} +{z}^{\mathrm{2}} +{yz}=\mathrm{16} \\ $$$${x}^{\mathrm{2}} +{z}^{\mathrm{2}} +{xz}=\mathrm{25} \\ $$$${xy}+{yz}+{xz}=? \\ $$
Commented by mathdanisur last updated on 23/May/21
how sir
$${how}\:{sir} \\ $$
Commented by MJS_new last updated on 22/May/21
I get ±8(√3)
$$\mathrm{I}\:\mathrm{get}\:\pm\mathrm{8}\sqrt{\mathrm{3}} \\ $$

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