# Mathematical sbi contest #5

in #puzzle3 years ago (edited)

Here you can keep your brain fit by solving math related problems and also earn SBI by doing so.
The problems usually contain a mathematical equation that in my opinion is fun to solve or has an interesting solution.
I will also only choose problems that can be solved without additional tools, so don't grab your calculator, you won't need it.
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# Rules

#### And one more thing: I only want integer solutions!

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# Problem

Today an equation without a variable in the exponent.
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You can take a look at the results of the last contest here.

To everyone who already participated in a past contest, come back today and try a new problem(tell me if you don't want to be tagged):
@addax @ajayyy @bwar @heraclio @sidekickmatt @tonimontana @vote-transfer

In case no one gets a result(which I doubt), I will give away the 1 SBI to anyone who comments.

This contest is over! You can find the results here.

Sort:

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3 years ago (edited)

x = 8
y = 4

You should rethink that.

Oops, already edited :D

Posted using Partiko Android

x=8,y=4
x=27,y=9
x=64,y=16
x=125, y=25
x=216, y=36
x=z^3,y=z^2 pattern continues for ever so I'd like to submit every answer up to and including infinity.

can add x=0,y=0 and x=1, y=1 but that feels like cheating.

z>=0 just prevent them pesky negatives.

I don’t know the answer but here’s giphy’s auto response... !giphy-auto

Posted using Partiko iOS

Why do many people react to a math equation with something like
`"OMG! What kind of alien language is that?"`, instead of just saying
`"Wow, that's easy. The solution is …"`?

So please try again and choose the latter answer. !giphy math
Even if you got no idea how to work with an equation, you should be able to just plug some random numbers in for x and y until you get to the result.

Haha! OK.

How about if `x = 1` and `y = 1`?

`1^2 = 1^3` (1 = 1).

Great!

Now you officially speak the alien language :D

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Oh, I will take the easy answer
x=1, y=1
Doing math in my head is easy some days, hard other days. Power of three not so easy.

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ummmmm.

1^2=1^3

Posted using Partiko iOS

x=1 or -1
y=1

Posted using Partiko iOS

I think we could say that

x = 2y
y = 4

Posted using Partiko Android

3 years ago (edited)

To get solutions of x^2=y^3 one can look for solutions of y=x^(2/3). Taking x=t^3 for some other integer t one can guarantee that y=t^(3*2/3)=t^2 is an integer. So my solutions would be
x=0,y=0
x=1,y=1
x=-1,y=1
x=8,y=4
x=-8,y=4
...

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