Find all integer solution to \(\frac{2}{a^{2}}+\frac{3}{b^{2}}+\frac{4}{c^{2}}=1\). Just give me a correct hint or the approach with which I must start it.Please dont give me the solution.

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TopNewestThere's a general trick here: attempt to bound one of the terms.

Let m = min(a, b, c), then \(a \ge m \implies \frac 1 {a^2} \le \frac 1 {m^2}\). Then:

\[ 1 = \frac 2 {a^2} + \frac 3 {b^2} + \frac 4 {c^2} \le 4\left( \frac 1 {a^2} + \frac 1 {b^2} + \frac 1 {c^2}\right) \le \frac {12}{m^2}\]

So \( m^2 \le 12\) and m = 2, 3. Consider each of a=2,3; b=2, 3 and c=3. – C Lim · 4 years, 1 month ago

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Go to http://www.amtionline.com/ – Kishan K · 4 years, 1 month ago

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– Kishan K · 4 years, 1 month ago

This book is not very good it is not for exam of higher level than your local exams conducted my private companies.Questions on brilliant are far far better than this.So don't bother about it anymore.Yes, If u really want to excel in mathematics get Problem Solving Strategies.Really, you will enjoy it.Log in to reply

I have posted the name of the website.Many of you would be knowing it, or everyone would be.Don't go for this book it has very few questions, go for Problem Solving Strategies...Best ever book......Try to solve first few problems of it,I am not telling to solve all but few, and try to solve as many as u can.... – Kishan K · 4 years ago

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is it possible with just one equation? – Sudipto Chowdhury · 4 years ago

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subhrodiptob@yahoo.com! i am amazed my your mathematics excellence at age of only 13!!! – Subhrodipto Basu Choudhury · 4 years, 1 month ago

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cool prob which book u get this from?- mooremichael493@gmail – Michael Moore · 4 years, 1 month ago

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Kevin, can i get your book in pdf or in word to 'playing' with your exc? my email is umaraburrohman.94@gmail.com – Umar Abdurrohman · 4 years, 1 month ago

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What's the source of this problem? – Tim Vermeulen · 4 years, 1 month ago

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– Kishan K · 4 years, 1 month ago

My book.Log in to reply

– Bhargav Das · 4 years, 1 month ago

what's the name of the book?Log in to reply

– Tim Vermeulen · 4 years, 1 month ago

Which one is it? Does it contain more problems like this?Log in to reply

– Kishan K · 4 years, 1 month ago

Yes many.Log in to reply

please send to me.. i have very poor math skills:( – Mharfe Micaroz · 4 years ago

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– Serly Zubir · 4 years ago

may I have one? serlyayus@gmail.comLog in to reply

– Anshul Agarwal · 4 years ago

me too ............ anshul99agr@gmail.comLog in to reply

advitiyabrijesh@gmail.com – Advitiya Brijesh · 4 years, 1 month ago

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– Kishan K · 4 years, 1 month ago

Give me ur email, I will send u all information of it.Log in to reply

– Kislay Raj · 4 years ago

pls send me too.....my mail is kislay4raj@gmail.comLog in to reply

– Abdul Mu'min Unsi · 4 years ago

here potsunsi@yahoo.com i really interested..Log in to reply

– Chau Bui · 4 years, 1 month ago

chaukhanh1603@yahoo.com.vnLog in to reply

– Leonardo Chandra · 4 years, 1 month ago

Kevin, I want too, my email: leonardochandra@hotmail.com. ThanksLog in to reply

Listen Kevin. You have got skill, talent and opportunity in front of you. Don't waste it trying to pursue some engineering degree from IIT. Instead, develop your skill and try to advance in a science stream of your choice. This is just my opinion out of my personal experience. No hard feelings against any engineering degree, engineers or any IIT. – Chinmmayya Hajare · 4 years ago

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