Mathematics, 21.09.2021 09:30, monica1217

1. If a, b,c are real numbers such that a+b+c=0, then (2a^2 +bc).(2b^2 +ca)>(2c^2 +ab) <=0
2. Let a, b,c be real numbers such that a+b>=0, b+c>=0, c+a>=0. Prove that:
9(a+b).(b+c).(c+a)>=8(a+b+c).(ab +bc+ca)

1. If a,b,c are real numbers such that a+b+c=0, then

(2a^2 +bc).(2b^2 +ca)>(2c^2 +ab) <=0
2

Answers: 3

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1. If a, b,c are real numbers such that a+b+c=0, then (2a^2 +bc).(2b^2 +ca)>(2c^2 +ab) <=0