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Find the number of solutions, in positive real numbers, to the system
x1+1x2=4,x2+1x3=1,x3+1x4=4,x4+1x5=1,,x99+1x100=4,x100+1x1=1.

 Aug 8, 2021
 #1
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Adding up all the equations and using an AM-GM estimate, we get that the system has no solutions.

 Aug 8, 2021
 #2
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Its not right

Guest Aug 9, 2021
 #3
avatar+33654 
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Spot the pattern:

 

... etc.

 Aug 10, 2021
 #4
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thanks!

Guest Aug 11, 2021

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