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Help Me!

Find \(ab + bc + ca\) given that:

\(a^{2} + ab + b^{2} = 2\)

\(b^{2} + bc + c^{2} = 1\)

\(c^{2} + ca + a^{2} = 3\)

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

Note by Christian Daang
1 year, 10 months ago

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@Aneesh Kundu @Aneesh Kundu I know its a very late reply , still .. Isn't your Eq 5 wrong? Ankit Kumar Jain · 4 months, 3 weeks ago

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@Ankit Kumar Jain You're right. Aneesh Kundu · 4 months, 2 weeks ago

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Christian Daang has posted the same problem recently.

Here Ankit Kumar Jain · 4 months, 2 weeks ago

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@Ankit Kumar Jain Yah sir, after a year and a half, I figure it out how this can be solve. :) Christian Daang · 4 months, 2 weeks ago

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@Christian Daang 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 · 4 months, 2 weeks ago

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@Christian Daang 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 · 4 months, 2 weeks 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 · 4 months, 2 weeks ago

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@Christian Daang At present , I can't think of any other way. Ankit Kumar Jain · 4 months, 2 weeks ago

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Is the question correct? There don't exist positive \(a,b,c \) for which these equations are true. Siddhartha Srivastava · 1 year, 10 months ago

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@Siddhartha Srivastava Yes sir, there is. :) Christian Daang · 1 year, 10 months ago

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