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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 2022-01-07 00:03:46

tony123
Member
Registered: 2007-08-03
Posts: 229

solve equation

find x

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#2 2022-01-07 01:45:24

Bob
Administrator
Registered: 2010-06-20
Posts: 10,619

Re: solve equation

hi tony123

Thanks for another great exercise.

I'm still stuck with

. Prove that

Easy to show it's a possible value for x+y and the graph suggests it's unique, but I still cannot prove it properly.  Hint please. smile

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#3 2022-01-07 04:16:06

tony123
Member
Registered: 2007-08-03
Posts: 229

Re: solve equation

hi bob
I'm glad you liked these problems
For the acute angles problem,
Someone sent this solution hope you like it
https://www.youtube.com/watch?v=TZi-x7ctxrU

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#4 2022-01-07 09:15:22

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,436
Website

Re: solve equation

Bob wrote:

I'm still stuck with

. Prove that

Easy to show it's a possible value for x+y and the graph suggests it's unique, but I still cannot prove it properly.  Hint please. smile

Hi Bob,

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#5 2022-01-07 22:57:39

Bob
Administrator
Registered: 2010-06-20
Posts: 10,619

Re: solve equation

hi zetafunc and tony123,

Thanks for providing me with ways to do this.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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