Determine all possible pairs of positive whole numbers (v, w) satisfying the following equation:
v3 – w3 = vw + 61
Please don't keel over in shock at seeing my name in response to one of your problems!
Well, I took my calculator and did a few computations. Would you believe it? I found one solution quite quickly!
Here it is
6^3 - 5^3 = 91
(6*5)+ 61 = 91
Thanks for an interesting problem.:) Josie