Derivatives (Lim Phalkun) for grade 12
If
you don't yet know about complex numbers (the numbers with "i"
in them), then you would say that the above quadratic has "no solution".
If you do know about complexes, then you would say that this quadratic
has "no real solution" or that is has a "complex solution".
Since
solving "(quadratic) = 0" for x is the same as finding the x-intercepts
(assuming the solutions are real numbers), it stands to reason that this
quadratic should not intersect the x-axis
(since x-intercepts
are "real" numbers). As you can see below, the graph does not
in fact cross the x-axis.
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