52) Show that if 2(a^2 +B^2) = (a+b)^2, then a = b.
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Answer:
2a^2 + 2b^2 = a^2 + b^2 + 2ab
= after sides changes
= a^2 + b^2 -2ab = 0
= (a-b)^2 = 0
= a-b=0
so a=b
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