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Forums
Mathematics
Calculus
How to know if a complex root is inside the unit circle
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[QUOTE="dyn, post: 6215624, member: 501581"] Do you think I maybe applied a rule valid in ℝ which is not valid in ℂ ? To get the sum of the products I used the fact that for a quadratic equation ## ax^2 +bx + c = 0 ## with 2 roots α and β then αβ = c/a which in the above case is -1 (and I have seen this same result applied to complex quadratic equations) I presume it is just a coincidence that the product comes to +1 or -1 as this helps make it easier to find out if the roots lie inside the unit circle and if the product is not +1 or -1 it just makes it harder to figure this out [/QUOTE]
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Forums
Mathematics
Calculus
How to know if a complex root is inside the unit circle
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