For which values of *c* does the polynomial have two complex conjugate roots?

The polynomial will have two complex conjugate roots if and only if its discriminant is negative. Since *a*=1 and *b*=4, the polynomial's discriminant is given by

The discriminant is negative, when *c*>4.

The polynomial will have two complex conjugate roots for *c*>4.

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*Helmut Knaust *

Tue Jun 24 09:48:17 MDT 1997

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