by Roel » Wed Jul 11, 2007 1:49 pm
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
Two real roots: [unparseable or potentially dangerous latex formula]
Product of real roots: [unparseable or potentially dangerous latex formula]
Back to the first equation:
[unparseable or potentially dangerous latex formula]
We see here that the product of all 4 roots equals [unparseable or potentially dangerous latex formula]
Dividing this product by the product of the real roots we get the product of the nonreal roots.
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
This seems too messy, any better solutions?