SOLUTION: using the quadratic formula solve x^2-2x=5x-2 can you please show me the steps to finding the answer.

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Question 64021: using the quadratic formula solve
x^2-2x=5x-2
can you please show me the steps to finding the answer.
Answer by sarahschober(35) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-2x=5x-2
set the equation equal to 0 by subtracting 5x and adding 2 to both sides
x%5E2-7x%2B2=0
then...
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-7x%2B2+=+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=%28-7%29%5E2-4%2A1%2A2=41.

Discriminant d=41 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--7%2B-sqrt%28+41+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-7%29%2Bsqrt%28+41+%29%29%2F2%5C1+=+6.70156211871642
x%5B2%5D+=+%28-%28-7%29-sqrt%28+41+%29%29%2F2%5C1+=+0.298437881283576

Quadratic expression 1x%5E2%2B-7x%2B2 can be factored:
1x%5E2%2B-7x%2B2+=+%28x-6.70156211871642%29%2A%28x-0.298437881283576%29
Again, the answer is: 6.70156211871642, 0.298437881283576. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-7%2Ax%2B2+%29