SOLUTION: How do I solve -x2 + 7x - 19 = 0 using quadratic formula?

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Question 228882: How do I solve -x2 + 7x - 19 = 0 using quadratic formula?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
-x2 + 7x - 19 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case -1x%5E2%2B7x%2B-19+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%287%29%5E2-4%2A-1%2A-19=-27.

The discriminant -27 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 -27 is + or - sqrt%28+27%29+=+5.19615242270663.

The solution is , or
Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-1%2Ax%5E2%2B7%2Ax%2B-19+%29