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A linear product equals 8ab (Posted on 2024-08-16)

Determine all possible pairs (a,b) of real numbers that satisfy this equation:

       (1+a)(1+b)(a+b)=8ab

No Solution Yet Submitted by K Sengupta

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by inspection:

Comment 1 of 1

Some (a,b) pairs that work:

(0,0)

(1,1)

(-1,0)

(0,-1)

I peeked at Wolfram Alpha after finding these four, and there are more solutions, but I have not found a way to find them analytically.

Posted by Larry on 2024-08-16 10:49:01

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