Mathematical SBI contest #4 Results and Solution of the Equation

in #puzzle3 years ago


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)


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"


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

Namesolutions foundscorechance of winning
@heraclio(2, 2)216.67 %
@tonimontana(x, 1), (2, 2), (0, y), y > 0433.33 %
@sidekickmatt(2, 1), (2, 2), (0, 1), 433.33 %
@vote-transfer(2, 2)216.67 %


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


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


Damn I got lucky there :)