perplexus.info :: Just Math : Harmonic Diophantine Hindrance

Harmonic Diophantine Hindrance (Posted on 2015-06-21)

A, B and C are three strictly increasing positive integers in this order such that B is the harmonic mean of A and C.
Can A² + B² = C² + 1?
If so, provide an example.
If not, prove it.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

No, A²+B² cannot be equal to C²+1
For an explanation, refer to the solution submitted by broll in this location.

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

Subject	Author	Date
re: question re: Possible solution	broll	2015-06-23 00:45:51
question re: Possible solution	xdog	2015-06-22 10:06:43
Possible solution	broll	2015-06-21 23:09:47

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