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Over here they discuss a similar problem that may give you some ideas.
http://math.stackexchange.com/questions … os-formula
I do not think any of those methods were known to Cardano.
What was the cubic if he was able to reduce r and s to numbers?
He is correct.
Did you get how he got u^3 and v^3 on the next line?
Thanks for the condolences, it was a long time ago.
Cardano, using the method that falsely bears his name did not know about complex numbers so he would assume that the roots are real. Check this page out and tell me exactly where you are stuck.
About 1 / 3 down the page is his method.
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