SOLUTION: Can you please show me how to solve this equation using the quadratic formula 4m^2 - 8m + 1 = 0

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Question 170897: Can you please show me how to solve this equation using the quadratic formula
4m^2 - 8m + 1 = 0
Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 4x%5E2%2B-8x%2B1+=+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=%28-8%29%5E2-4%2A4%2A1=48.

Discriminant d=48 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--8%2B-sqrt%28+48+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-8%29%2Bsqrt%28+48+%29%29%2F2%5C4+=+1.86602540378444
x%5B2%5D+=+%28-%28-8%29-sqrt%28+48+%29%29%2F2%5C4+=+0.133974596215561

Quadratic expression 4x%5E2%2B-8x%2B1 can be factored:
4x%5E2%2B-8x%2B1+=+%28x-1.86602540378444%29%2A%28x-0.133974596215561%29
Again, the answer is: 1.86602540378444, 0.133974596215561. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B-8%2Ax%2B1+%29

Replace the variable x with m