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Hi my first post! Feel embarrassed I cant see the solution as I though I was getting quite good at these.... Any here is the question:
If a2 + b2 = 1 = c2 + d2 ; a, b, c, d are elements of R
Prove that ab + cd < 1
Apologies I cant seem to use superscript; the number 2 in the question is meant to be to the power of 2 for each of the letters in the equation.