VMO 1981 Problem 4

Find all real solutions to: $w^2$ + $x^2$ + $y^2$ + $z^2$ = 50 $w^2$ - $x^2$ + $y^2$ - $z^2$ = -24 wx = yz w - x + y - z = 0.

Community text Kalva (prase.cz mirror). Quoted with source.

Solutions

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