Question 180687: I need help please show me an example of a complex roots equation. Thanks Found 2 solutions by stanbon, josmiceli:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! x^2 + 1 = 0 has two complex roots.
(x+i)(x-i) = 0
x = -i or x = +i
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Cheers,
Stan H.
You can put this solution on YOUR website! Suppose the roots are and , then
the equation can be factored into and , so
Note that if you replace by either or ,
Then the equation is solved
Now multiplying the factors:
(note that and ) is the equation to find roots is the complete complex roots equation
There are 2 complex roots to this equation, and
Graphing it, you can see it doesn't intersect the x-axis, where
real roots would be:
(