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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
2 years ago

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Comment deleted 7 months ago

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@Aneesh Kundu I know its a very late reply , still .. Isn't your Eq 5 wrong?

Ankit Kumar Jain - 7 months, 3 weeks ago

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You're right.

Aneesh Kundu - 7 months, 2 weeks ago

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Christian Daang has posted the same problem recently.

Here

Ankit Kumar Jain - 7 months, 2 weeks ago

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

Christian Daang - 7 months, 2 weeks 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 - 7 months, 2 weeks 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 - 7 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 - 7 months, 2 weeks ago

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

Ankit Kumar Jain - 7 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.

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Yes sir, there is. :)

Christian Daang - 2 years ago

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