SOLUTION: Find all solutions of the equation x^2 - 3 x+ 7 = 0 and express them in the form a + b i

Question 902672: Find all solutions of the equation x^2 - 3 x+ 7 = 0 and express them in the form a + b i
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x^2 - 3x+ 7 = 0
Don't put a space after the 3.
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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 -19 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 -19 is + or - .

The solution is , or
Here's your graph:

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