Mathematical sbi contest #6

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

No upvote, No resteem, No follow required!

I will give 1 SBI to a random person who put a correct solution of the problem in a comment.

You have 48 hours to solve it.

In case there are multiple solutions, you have a higher chance of winning if you get all of them correctly.

Solutions can sometimes also be general like x = 20, y > -1. If there are multiple solutions submitted, that are part of the same general solution, they will be counted as one solution.

And one more thing: I only want integer solutions!

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Problem

Screenshot from 2019-08-26 10-57-36.png
The solution of this equation is simple, but it isn't as simple to get there.
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You can take a look at the results of the last contest here. There you can also find out how I evaluate your entries.

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 @contrabourdon @heraclio @hokkaido @mytechtrail @sidekickmatt @sparkesy43 @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:  

x,y=-x
x,y=x+1

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So busy I keep missing these.

These are the products of two consecutive integers.

x.(x+1)=(y-1).y

so works for all y=x+1, where x, y integers. Even works for negative integers.

One special solution is x=y=0

As you can see in my result post, I will reduce the frequency of my posting, so you should be able to find them more easily when looking at my account every weekend. Write it into your calender, if that helps :D

Let's go with x = 3, y = 4

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x = 1, y = 2
!giphy homer+simpson+thinking

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