If x^4 + y^4 = 85, then the greatest possible value of x is between:
Choose the correct choice from the following choices:
A) 0 to 2	B) 2 to 4	C) 4 to 6	D) 6 to 8	E) 8 to 10
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 = 100. 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 = 100   Looking at the answers, it makes sense to see what 3^4 equals....   3^4 = 81   Since that is BELOW 85, and 6^4 will clearly be MORE than 85, we have the correct answer.   Final Answer:   2 to 4
<result>B</result>
If x^4 + y^4 = 85, then the greatest possible value of x is between: