SOLUTION: Does this problem mean find the zeros? Find the exact solutions: x^2 – 2x + 10 = 0

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Question 329806:
Does this problem mean find the zeros?
Find the exact solutions: x^2 – 2x + 10 = 0


Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Does this problem mean find the zeros? That's what it means.
Find the exact solutions: x^2 – 2x + 10 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -36 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -36 is + or - .

The solution is , or
Here's your graph:

-----------
x = 1 ± 3i

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