perplexus.info :: Just Math : Three Absolute Value Trial

Three Absolute Value Trial (Posted on 2022-12-09)

M is any positive real number less than 2022.
Determine the total number of values of M for which the graphs of
y=abs(abs(abs(x-M)-x)-x) and y=x
intersect only at points with integer coordinates when graphed on the X-Y plane.

Submitted by K Sengupta

Rating: 3.5000 (2 votes)

Solution: (Hide)

The required total number of values of M is 505.
For an explanation, refer to the solution submitted by Jer in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	Steve Herman	2022-12-09 15:41:46
Solution	Jer	2022-12-09 12:29:07

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