Is it possible to reduce $a^2+b^2 - 2Kab = 0 $ to some sort of a (a+b) (a-b) kind of equation? Or something that tells how a is related to b? The K is the spoiler being faced.
2026-04-01 22:49:44.1775083784
Is it possible to reduce $a^2+b^2 - 2Kab = 0 $ to some sort of a (a+b) (a-b) kind of equation?
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Yes, if you allow complex coefficients.
Hint: Factorize $x^2 - 2Kx + 1 $.
E.g. Calculate the roots using the quadratic formula.
Hence, factorize $a^2 - 2Kab + b^2$.