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Mathematics 20 Online
OpenStudy (anonymous):

Can someone give me some basic information on complex roots?

OpenStudy (anonymous):

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, where i2 = −1.[1] In this expression, a is the real part and b is the imaginary part of the complex number.

OpenStudy (anonymous):

I know about complex numbers, I dont know anything about complex roots

OpenStudy (amistre64):

complex roots to polynomials come in conjugate pairs

OpenStudy (anonymous):

Okay, anything else I might need to know?

OpenStudy (amistre64):

prolly not. if you had a problem that could be worked on that might be useful; is this in regards to descartes stuff?

OpenStudy (anonymous):

I have an online class, the teacher is going to call me later and ask about complex roots, so I need to know some basic information on them

OpenStudy (amistre64):

lets take for example: x^2+1 = 0 x^2 = -1 x = \(\pm\sqrt{-1}\) there are no "Real" values that satisfy this equation. only complex values, and since \(i:=\sqrt{-1}\) by definition x = i , and x = -i produce the conjugate pair \(0\pm 1i\) for the solutions

OpenStudy (amistre64):

spose we had some polynomial were we know that there are possible positive and negative roots. We can also determine the number of possible complex roots

OpenStudy (amistre64):

since complex roots come in pairs; any multiple of 2 that we can pull out of our positive or negative root sets are the number of possible complex roots it can have.

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