x-3-px-ry-qz-a-0-y-3-rx-qy-pz-b-0-z-3-qx-py-rz-c-0-solve-for-x-y-z-in-terms-of-p-q-r-a-b-c-

Tinku Tara June 3, 2023 Algebra 0 Comments

Question Number 69589 by ajfour last updated on 25/Sep/19

x^3 +px−ry+qz+a=0 y^3 +rx+qy−pz+b=0 z^3 −qx+py+rz+c=0 solve for x,y,z, in terms of p,q,r, a,b,c.

$${x}^{\mathrm{3}} +{px}−{ry}+{qz}+{a}=\mathrm{0} \\ $$$${y}^{\mathrm{3}} +{rx}+{qy}−{pz}+{b}=\mathrm{0} \\ $$$${z}^{\mathrm{3}} −{qx}+{py}+{rz}+{c}=\mathrm{0} \\ $$$${solve}\:{for}\:{x},{y},{z},\:{in}\:{terms}\:{of} \\ $$$${p},{q},{r},\:{a},{b},{c}. \\ $$

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x-3-px-ry-qz-a-0-y-3-rx-qy-pz-b-0-z-3-qx-py-rz-c-0-solve-for-x-y-z-in-terms-of-p-q-r-a-b-c-

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