Ifthere are no roots.
Ifthere is one root.
Ifthere are two roots.
We are typically asked: Find the set of values offor which the curve has
no roots:
always, for every value ofso for every value of k the curve has two roots.
Example: Find the set of values offor which the curvehas two roots.
We solve for
So solutions exist for all values of
Example: Find the set of values offor which the curvehas one root.
We solve for
Soor
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