x^4+y^4=100
x would be the greatest when y is the least. Let's say y is less than or equal to one and greater than or equal to -1. This means that x would be an integer equal to or greater than the fourth root of 99. The fourth root of 99 should be somewhere between 3 and 4 since 3^4 is 81 and 4^4 is 256. Now if y was a fraction less than one and greater than -1, then the fourth root of the value of x you get obviously has to be greater than the fourth root of 99. The answer is B.
Last edited by
truplayer256 on Tue Jul 14, 2009 1:13 pm, edited 2 times in total.