SOLUTION: Solve x^2 + 8x + 20 = 0 using the quadratic formula

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Question 456251: Solve x^2 + 8x + 20 = 0 using the quadratic formula
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443)   (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 -16 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 -16 is + or - .

The solution is , or
Here's your graph:

-----------
x = -4 ± 2i

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!















solutions:



or




graph:






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