Help Me!

Find ab+bc+caab + bc + ca given that:

a2+ab+b2=2a^{2} + ab + b^{2} = 2

b2+bc+c2=1b^{2} + bc + c^{2} = 1

c2+ca+a2=3c^{2} + ca + a^{2} = 3

Giveb that a, b, and c are positive numbers.

Note by Christian Daang
3 years, 9 months ago

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1 vote

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Is the question correct? There don't exist positive a,b,ca,b,c for which these equations are true.

Siddhartha Srivastava - 3 years, 9 months ago

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Yes sir, there is. :)

Christian Daang - 3 years, 9 months ago

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Christian Daang has posted the same problem recently.

Here

Ankit Kumar Jain - 2 years, 4 months ago

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Yah sir, after a year and a half, I figure it out how this can be solve. :)

Christian Daang - 2 years, 4 months ago

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Its absolutely brilliant that you have devised your own method...:) :) :)

Please don't call me sir , I am your fellow BRILLIANTIAN and a FRIEND.

Ankit Kumar Jain - 2 years, 4 months ago

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@Ankit Kumar Jain I saw someone who figure it out how this can be solve. :) I just somewhat get it. XD And somewhat make it more elaborative.

~ Do you think there are other ways to solve this except for the geometric method?

Christian Daang - 2 years, 4 months ago

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@Christian Daang At present , I can't think of any other way.

Ankit Kumar Jain - 2 years, 4 months ago

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By the way , you post some really interesting questions ...I love them.

Even you can try my sets out

My Problems and THRILLER

Ankit Kumar Jain - 2 years, 4 months ago

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