Question

If 2(a²+b²)=(a+b)²,then show that a=b

Answer 1

Answer:

2(a^2 + b^2 ) = (a + b)^2

2a^2 + 2b^2 = a^2 + b^2+ 2ab  

a^2 + b^2 = 2ab

a^2 - 2ab + b^2 = 0

(a-b)^2 = 0

a-b = 0

a= b

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