Too much of absolute
What is the minimum value of
Where is a real number.
Note : denotes absolute value function
Request : please contribute to this
The answer is 49.
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1 solution
Because of the expressions within the absolutes, the minimum will be at a fraction between 0 and 1 of the form n 1 where n is a positive integer ≤ 1 1 9 . By direct computation that minimum is 49 at both 8 5 1 and 8 4 1 . Further examination shows that the expression is 49 between those fractions.