This is the continue of Cool nt problems. These are some problems I've found on internet and I've really liked them.

- Find all real solutions of this sistem:

\(\sqrt{x^{2}+y^{2}+6x+9}+ \sqrt{ x^{2}+y^{2}-8y+16} = 5\)

\(9y^{2}-4x^{2}= 60\)

Find all real solutions of \(x^{6}+y^{6}+z^{6}= 6xyz - 3\)

Let n be a positive integer. Show that \(N = 11111(2n times)2222(n times)\) is a perfect square.

## Comments

Sort by:

TopNewestThe lat digit of the number given in the third problem is 2 right? So how can it be a perfect square....... – Eddie The Head · 2 years, 10 months ago

Log in to reply

– Eddie The Head · 2 years, 10 months ago

*lastLog in to reply

I believe the last problem has an issue. – Bogdan Simeonov · 2 years, 10 months ago

Log in to reply

– Jordi Bosch · 2 years, 10 months ago

yes it must be 1111(2n times)2222(n times)Log in to reply