SOLUTION: 8m^2-10m+3=0

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Question 1064865: 8m^2-10m+3=0
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
8m^2-10m+3=0
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You didn't say what you want to do.
If you want to solve for m:
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8m^2-10m+3=0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 8x%5E2%2B-10x%2B3+=+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=%28-10%29%5E2-4%2A8%2A3=4.

Discriminant d=4 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--10%2B-sqrt%28+4+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-10%29%2Bsqrt%28+4+%29%29%2F2%5C8+=+0.75
x%5B2%5D+=+%28-%28-10%29-sqrt%28+4+%29%29%2F2%5C8+=+0.5

Quadratic expression 8x%5E2%2B-10x%2B3 can be factored:
8x%5E2%2B-10x%2B3+=+%28x-0.75%29%2A%28x-0.5%29
Again, the answer is: 0.75, 0.5. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+8%2Ax%5E2%2B-10%2Ax%2B3+%29


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m = 0.5, 0.75