



 
Hi Fay, I think there is an error in this problem. $47 \times 17 = 799$ but the difference is 30. Since 47 and 17 are primes 799 can only be factored as $1 \times 799$ and $47 \times 17$ so if you are looking for integers there is no solution to the problem. If 799 is replaced by 792 there is a solution, as $792 = 22 \times 36.$ The equation \[Y^2 + 14 Y  799=0\] doesn't factor and the general quadratic gives roots that are not integers, in fact they are irrational. This does give you a solution to the problem but I don't think that is what was intended. I hope this helps,  


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