Say I have a system of equations of the following form:(adsbygoogle = window.adsbygoogle || []).push({});

a_1 A^2 + b_1 B^2 + c_1 C^2 + d_1 = f_1

a_2 A^2 + b_2 B^2 + c_2 C^2 + d_2 = f_2

a_3 A^2 + b_3 B^2 + c_3 C^2 + d_3 = f_3

Where a,b,c,d,f are coefficients, and A,B and C are unknown variables.

1. Can we write them in terms of two variables only?

2. Can we write them in terms of one variable only?

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# Question on reducing 3 equations with 3 unknowns

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