perplexus.info :: Just Math : Smaller product

Smaller product (Posted on 2019-01-29)

If
x+1/y=12 ..... (i)
y+1/x=3/8 ... (ii)

What is the smallest value of x*y?

No Solution Yet Submitted by Ady TZIDON

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Comment 2 of 2 |

I wouldn't call it clever but multiplying the equations gives a quadratic in xy.

Posted by xdog on 2019-01-29 09:38:46

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