Exercise 4.

For which values of a does the polynomial tex2html_wrap_inline27 have two distinct real roots?

Answer.

The discriminant of the polynomial is

displaymath29

The polynomial will have two distinct roots, exactly when the discriminant is positive. This occurs when tex2html_wrap_inline31 .

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Helmut Knaust
Tue Jun 24 09:50:48 MDT 1997

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