SOLUTION: Find all solutions of the equation and express them in the form a + bi. x2 − 9x + 21 = 0

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Question 735687: Find all solutions of the equation and express them in the form
a + bi.
x2 − 9x + 21 = 0
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
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 -3 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 -3 is + or - .

The solution is , or
Here's your graph:
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