perplexus.info :: Just Math : Find From Four 2

Find From Four 2 (Posted on 2016-06-23)

Each of X and Y is a positive integer such that:

X⁴ and Y⁴ share identical last four digits in the same order, and

X-Y = 2016

(A) Find the smallest solution satisfying the given conditions.

(B) Derive the general form of X and Y satisfying the given conditions.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(A) The smallest solution satisfying the given conditions occur at (x, y)= (2552, 536)
(B) X == 52, 89, 383 (mod 625),or:
X = 625n+52, 625n+89, 625n+383
For an explanation, refer to the solution submitted by armando in this location.

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

Subject	Author	Date
completing a way	armando	2016-06-25 04:20:09
long way complete solution	Jer	2016-06-23 21:17:49
computer solution	Charlie	2016-06-23 17:02:39
A way	armando	2016-06-23 16:15:47

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