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Reciprocal Equation #2 (Posted on 2003-07-20)

Find all sets of positive integers A, B, and C which satisfy

1/A = 1/B + 1/C.

See The Solution Submitted by Brian Smith

Rating: 3.4000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Pattern (re: hmmm...)

| Comment 5 of 15 |

(In reply to Pattern (re: hmmm...) by TomM)

Or, eliminating one set of variables:

1) Set any random b and c;
2) Set d = GCF(b,c)
3) Set a = b + c
4) Set A = bc/d; Set B = ac/d; Set C = ab/d

Posted by Charlie on 2003-07-20 10:47:49

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