SOLUTION: -2=-4.76x^2-0.31x+0.01 Solve for x.

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Question 1105549: -2=-4.76x^2-0.31x+0.01
Solve for x.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
-2=-4.76x^2-0.31x+0.01
-4.76x^2-0.31x + 2.01 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case -4.76x%5E2%2B-0.31x%2B2.01+=+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=%28-0.31%29%5E2-4%2A-4.76%2A2.01=38.3665.

Discriminant d=38.3665 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--0.31%2B-sqrt%28+38.3665+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-0.31%29%2Bsqrt%28+38.3665+%29%29%2F2%5C-4.76+=+-0.683200603416152
x%5B2%5D+=+%28-%28-0.31%29-sqrt%28+38.3665+%29%29%2F2%5C-4.76+=+0.618074552995984

Quadratic expression -4.76x%5E2%2B-0.31x%2B2.01 can be factored:
-4.76x%5E2%2B-0.31x%2B2.01+=+%28x--0.683200603416152%29%2A%28x-0.618074552995984%29
Again, the answer is: -0.683200603416152, 0.618074552995984. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-4.76%2Ax%5E2%2B-0.31%2Ax%2B2.01+%29

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