What is the smallest positive integer , such that there exists real numbers which satisfy and
As ranges over all real numbers, what is the smallest value of
Six children are standing along the -axis at points , , , , , . The children decide to meet at some point along the -axis. What is the minimum total distance the children must walk in order to meet?
As ranges over all real values, what is the minimum value of ?
Details and assumptions
The notation denotes the absolute value. The function is given by For example, .