If a and b are positive numbers, and a^3 + b^3 = 100, then the greatest possible value of a is between: Choices
A) 0 and 3	B) 3 and 4	C) 4 and 5	D) 5 and 7	E) 7 and 9
If a = 4.5 and b is a bit more than 2, then a^3 + b^3 can equal 100.   If a &gt; 5, then a^3 + b^3 &gt; 100.   The answer is 4 and 5.
<result>C</result>
If a and b are positive numbers, and a^3 + b^3 = 100, then the greatest possible value of a is between: