SOLUTION: Which of the following is a solution of x2 - 6x = -22?

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Question 959871: Which of the following is a solution of x2 - 6x = -22?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Which of the following is a solution of x2 - 6x = -22?
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Nothing followed.
Use ^ (Shift 6) for exponents.
x%5E2+-+6x+%2B+22+=+0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-6x%2B-22+=+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=%28-6%29%5E2-4%2A1%2A-22=124.

Discriminant d=124 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--6%2B-sqrt%28+124+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-6%29%2Bsqrt%28+124+%29%29%2F2%5C1+=+8.56776436283002
x%5B2%5D+=+%28-%28-6%29-sqrt%28+124+%29%29%2F2%5C1+=+-2.56776436283002

Quadratic expression 1x%5E2%2B-6x%2B-22 can be factored:
1x%5E2%2B-6x%2B-22+=+%28x-8.56776436283002%29%2A%28x--2.56776436283002%29
Again, the answer is: 8.56776436283002, -2.56776436283002. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-6%2Ax%2B-22+%29

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It cannot be factored, ignore that statement.