# Mathematical SBI contest #5 Results and Solution of the Equation

in #puzzle3 years ago

## Solution:

The problem of the last contest was:

All solutions to this equation follow one general formula. This can be reached by setting the whole equation equal to a new variable z⁶:
`x² = y³ = z⁶`

`x = z³`
`y = z²`
If z is an integer, then x and y are also integer, so the general result is:
`(z³, z²)`

Sadly most people forgot that z can also be negative, but luckily that won't have a negative impact today.

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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.
• Multiple examples of a general solution count as one solution
• If there is only one general solution, those who found its pattern(by mentioning a general formula or showing more then 3 examples) will get an 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:

Namesolutions foundscorechance of winning
@contrabourdon`(1, 1)`211.1%
@hokkaido`(1, 1)`211.1%
@vote-transfer`(±1, 1)`211.1%
@heraclio`(8, 4)`211.1%
@sparkesy43`(8, 4)`211.1%
@mytechtrail`(1, 1)`211.1%
@bwar`(z³, z²)`316.7%
@tonimontana`(t³, t²)`316.7%

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### Winner draw(using a self written program):

Congratulations @vote-transfer, you won 1 SBI:

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

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