Find two positive even integers such that the square of the smaller integer is ten more than the larger integer

Guest Jan 31, 2020

#1**0 **

*Find two positive even integers such that the square of the smaller integer is ten more than the larger integer *

smaller integer **4**

larger integer **6**

edited to add:

I just hurriedly wrote down the first ones I thought of. As I continued thinking, I realized there are lots of them.

**5** & **15** ..... **6** & **26** ..... **7** & **39** ..... I gues the examples go on forever.

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Guest Jan 31, 2020

edited by
Guest
Jan 31, 2020

#2**0 **

Oh. Just reread. Let this be a lesson: Always read the questions carefully.

The problem specified __even__ integers. Never mind the 5 pair and the 7 pair.

Here's some more even pairs: **8** & **54** .... **10** & **90** .... **12** & **134** .... **14** & **186** ....

As you can see, these also go on forever.

Just pick an even number, square it, and subtract 10 for the second number.

_{.}

Guest Jan 31, 2020