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For-a-b-c-d-R-a-b-c-d-0-ab-ac-ad-bc-bd-cd-0-Prove-the-inequality-ab-a-b-2-ac-a-c-2-ad-a-d-2-bc-b-c-2-bd-b-d-2-cd-c-d-2-3-2-When-is-

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Question Number 182043 by depressiveshrek last updated on 03/Dec/22
For a, b, c, d ∈ R a+b+c+d=0 ab, ac, ad, bc, bd, cd ≠0 Prove the inequality: ((ab)/((a+b)^2 ))+((ac)/((a+c)^2 ))+((ad)/((a+d)^2 ))+((bc)/((b+c)^2 ))+((bd)/((b+d)^2 ))+((cd)/((c+d)^2 ))≤−(3/2) When is equality reached?
Fora,b,c,d∈Ra+b+c+d=0ab,ac,ad,bc,bd,cd≠0Provetheinequality:ab(a+b)2+ac(a+c)2+ad(a+d)2+bc(b+c)2+bd(b+d)2+cd(c+d)2≤−32Whenisequalityreached?

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