If x^4 + y^4 = 1300, then the greatest possible value of x is between:  Choose the correct option:
A) 1 to 2 B) 2 to 3 C) 3 to 4 D) 4 to 5 E) 6 to 7
The answers to this question provide a great 'hint' as to how to go about solving it; since they're all essentially 'ranges', you can use them to figure out which solution contains the maximum value of X.   We're told that X^4 + Y^4 = 1300. To maximize the value of X, we need to minimize the value of Y^4. The smallest that Y^4 could be is 0 (when Y = 0), so we'll have....   X^4 = 1300   Looking at the answers, it makes sense to see what 6^4 equals....   6^4 = 1296   Since that is BELOW 1300, and 7^4 will clearly be MORE than 1300, we have the correct answer.   Final Answer:   6 to 7
<result>E</result>
If x^4 + y^4 = 1300, then the greatest possible value of x is between: