Mathematical SBI contest #4 Results and Solution of the Equation


Solution:

The problem of the last contest was:
Screenshot from 2019-08-20 10-48-58.png
The best way to reach the 3 solutions was by thinking about how to eliminate the problem that the y in the exponents brings.
One way to do this was using y = 1 which simplifies the equation to:
x = x
So the first solution is (x, 1).
An other way to eliminate y is to set x = 0. That way both sides become zero, if y is bigger than 0(0⁰ is undefined, 1/0 is infinity).
So the second solution is (0, y); y > 0.
The last solution, which in my opinion is the most intuitive one can be reached by assuming x = y:
x^x = x*x
x^x = x² |log_x()
x = 2
So the last solution is (2, 2)

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How your chance of winning is calculated:

  • Every participant gets 1 point for entering the contest.
  • Every solution entered gets 1 additional point.
  • Your winning chance is "your points"/"total points"

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List of participants with their scores and chance of winning, sorted by time of entry:

Name solutions found score chance of winning
@heraclio (2, 2) 2 16.67 %
@tonimontana (x, 1), (2, 2), (0, y), y > 0 4 33.33 %
@sidekickmatt (2, 1), (2, 2), (0, 1), 4 33.33 %
@vote-transfer (2, 2) 2 16.67 %

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Winner draw(using a self written program):

Screenshot from 2019-08-22 11-23-52.png

Congratulations @tonimontana, you won 1 SBI:
Screenshot from 2019-08-22 11-30-23.png

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The next contest starts tomorrow. Don't miss it!


Comments 1


Damn I got lucky there :)

22.08.2019 16:38
0