Find all triples such that all three of the following equations are satisfied: a(b +…

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Find all triples (a,b,c)(a, b, c) such that all three of the following equations are satisfied: a(b+c−5)=7,a(b + c - 5) = 7, b(a+c−5)=7,b(a + c - 5) = 7, a2+b2=50.a^2 + b^2 = 50.

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