Question

if 2(a²+b²)=(a-b)² then show that a+b=0​

Answer 1

Answer:

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

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

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

-2ab=a^2+b^2

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

(a+b)^2=0

a+b=root0

a+b=0

hence proved

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