Hello, I-Think!

You're off to a good start . . .

Find all integer solutions to: .

Just making sure my solution is complete

Solution

By CRT, we can break this up to: .

And now we deal with each separately

For

we use FLT to simplify: .

Simplifying: . .

Solve to give: .

Hence, we have: .

Now dealing with: .

FLT: .

Simplifying: .

We have: .

Factor: .

. .

. .

. . Multiply by 5: .