If x^4 + y^4 = 300, then the greatest possible value of x is between:	Choose the correct choice from the following answers: A) 2 to 3 B) 5 to 7 C) 3 to 5 D) 6 to 8 E) 10 to 12
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 = 300. 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....   4^4 = 256   Looking at the answers, it makes sense to see what 4^4 equals....   4^4 = 256   Since that is BELOW 300, and 6^4 will clearly be MORE than 300, we have the correct answer.   Final Answer:   3 to 5
<result>C</result>
If x^4 + y^4 = 300, then the greatest possible value of x is between: