Math Olympiad | x+y=8, xy=64, Find x & y=?? 🤔 #Mamta maam #exponentialproblem #matholympaid

Math Olympiad | x+y=8, xy=64, Find x & y=?? 🤔 #Mamta maam #exponentialproblem #matholympaid

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Maths Olympaid are held all around the world to recognise students who excel in maths.
Thanks for Watching .

[wes]

My granddaughter knows this method: Substitute x=4+z and y=4–z into the second equation. (4+z)(4–z)=16–z^2=64, which has roots z=±i4√3.
Thus, x=4+z=4±i4√3 and y=4–z=4∓i4√3

[Maheshkumar-cwun]

X and Y will always be positive value and its correct

[RikiFaridoke]

You must using complex analysis method sir, it will driving us to amazing way to understand about this problem.

[mircoceccarelli]

👍👍👍

4 - 4i sqrx( 3 ) = - 8w

4 + 4i sqrx( 3 ) = - 8w^2 = 8( w + 1 )

x^3 - 1 = ( x - 1 )( x^2 + x + 1 ) = 0

w = ( - 1 + i sqrx( 3 ) ) ÷ 2

x = { 1, w, w^2 } , w^3 = 1

😊😁🤪👍👋

[peteevans]

Your words do not match the math sometimes