If x^4 + y^4 = 650, then the greatest possible value of x is between: Choose the correct choice from the following options.
A) 1 to 2  B) 2 to 3  C) 3 to 4  D) 5 to 6  E) 7 to 8
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 = 650   Looking at the answers, it makes sense to see what 5^4 equals....   5^4 = 625   Since that is BELOW 650, and 6^4 will clearly be MORE than 650, we have the correct answer.   Final Answer:   5 to 6
<result>D</result>
If x^4 + y^4 = 650, then the greatest possible value of x is between: