I was wondering how to go about doing this question: Find all quadratics with the roots -3+-2i in the form ax^2 +bx+c=0 any help is appreciated.
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Originally Posted by carmo100 I was wondering how to go about doing this question: Find all quadratics with the roots -3+-2i in the form ax^2 +bx+c=0 any help is appreciated. This is a nice, little theorem (a particular case of Viete's formulae): Theorem: if are the roots of a quadratic equation , then Tonio
Thankyou, this is exactly what I needed.
Also, any quadratic having roots and is of the form . Replace with -3+ 2i, with -3- 2i, and multiply that out. The easiest way to do that is to think of it as a product of "sum and difference": ((x-3)- 2i)((x-3)+ 2i)
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