Find the smallest integer solution to the equation 1/x^2 + 1/y^2 = 1/z^2
How can we solve equations like 13x + 29y = 42 or 2x +4y = 13 with the solutions x and y being integers? Read this article to find out.
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
The symbol [ ] means 'the integer part of '.
Consider the three numbers
$$[2x];\ 2[x];\ [x + {1\over 2}] + [x - {1\over 2}]$$
Can they ever be equal?
Can they ever take three different values?