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Geometric Mean Crossed Ratio Puzzle (Posted on 2024-03-02)

Suppose x,y, and z are real numbers.

Let:
A= 50x²+9y²+5²+6xy+30xz+6yz
B= 25x²+41y²+5z²+40xy+20xz+26yz
C= 35x²+15y²+5z²+33xy+25xz+16yz

Given that C²=A*B, determine all possible values of x/y.

No Solution Yet Submitted by K Sengupta

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