perplexus.info :: Just Math : Repeat 4, get square

Repeat 4, get square (Posted on 2009-08-29)

Determine all possible value(s) of a positive integer x such that the base ten number 14....4 is a perfect square, where the digit 4 is repeated precisely x times.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

x= 2 and x = 3, corresponding to √144 and √1444 are the only solutions to the problem.
For an explanation, refer to the solution submitted by Harry in this location and, substantiated by Charlie in this location.

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

Subject	Author	Date
re(2): computer exploration--possible solution (spoiler)	Charlie	2009-08-30 01:49:39
re: computer exploration--possible solution (spoiler)	Harry	2009-08-29 22:55:10
computer exploration--possible solution (spoiler)	Charlie	2009-08-29 19:24:11

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