Mathematical Olympiad | Solve for (a^-1)+(b^-1) | Math Olympiad Preparation

Today I will teach you tips and tricks to solve the given olympiad math question in a simple and easy way. Learn how to prepare for Math Olympiad fast!

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Mathematical Olympiad | Solve for (a^-1)+(b^-1) | Math Olympiad Preparation

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[lifewithkevin]

love your videos! I always learn something new!

[Ramkabharosa]

10/7 = (a³ + b³)/(a+b) = (a² + b² - ab) = (a+b)² - 3ab = 49 - 3ab.
So 3ab = 49 - (10/7) = (343 - 10)/7 = 333/7. Thus ab = 111/7.
So (a⁻¹+b⁻¹) = (b+a)/(ab) = 7/(111/7) = 49/111. Dhanyavaad, Sir-ji.

[electromagnezone]

a^3+b^3=(a+b)^3-3ab(a+b) is a piece of trivia in Japanese mathematics.


⇔ ab=333/21=111/7.
∴

[racha]

I don't understand ?Why do you use a complex method to solve a problem؟ 😞😞

[jmf]

If you use ab=111/7 and b=7-a, you can find that there are no real number solutions to this first pair of equations.

[geoffreyparfitt]

It would be very helpful if it was made clear that problems like this one are not based on REAL numbers.

[HappyFamilyOnline]

Awesome as always👍👍
Thanks for sharing😊😊

[carter]

Sir i am in 11th and i am preparing for JEE! can you please tell me how i can crack math Olympiad!

[anatoliy]

Nice as always! Thank you so much, sir! Good luck and be happy, Mr PreMath <))

[rangaswamyks]

Dear sir
Pray for my professional development and also
For the my students
Progress in studies

[abeonthehill]

Is it possible to calculate the value of “ a” ? ( Numerical value ) or is there insufficient info ?

[userid]

I think it was too easy
I did it orally before watching the video

[math]

excellent job solving this system of equations, thanks so much for sharing

[utkarshbajpai]

I did it a little differently and used a^3 + b^3 identity to get => (a+b)(a^2 + b^2 - ab) and then plugged the values and got 10=7(a^2 + b^2 - ab) and then from given found the value of a2+b2=49-2ab (I squared the given info of a+b=7 and then tranposed 2ab to get the value of a2 + b2) and the after putting the value and calculations got ab=111/7 and the just put the values in b+a/ab and got the ans

[SuperYoonHo]

thank you so much! these videos are really great and also encoraged me to do math olympiad problems and has worked out fine with the help from you and the thinking brain of mine. i think everyone would appreciate if you made a book. really. maybe you should try mixing up the ingrediants in your math videos starting from the first video to the latest one. that is this one. if you do it please let me know. i will be honoured to have such book. thank you once more. bye

[edcullinane]

Thank you for your channel. You are an inspiration.