SOLUTION: 6p^(2)-2p-3=0

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Question 820826: 6p^(2)-2p-3=0
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 6x%5E2%2B-2x%2B-3+=+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=%28-2%29%5E2-4%2A6%2A-3=76.

Discriminant d=76 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--2%2B-sqrt%28+76+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-2%29%2Bsqrt%28+76+%29%29%2F2%5C6+=+0.893149823923446
x%5B2%5D+=+%28-%28-2%29-sqrt%28+76+%29%29%2F2%5C6+=+-0.559816490590112

Quadratic expression 6x%5E2%2B-2x%2B-3 can be factored:
6x%5E2%2B-2x%2B-3+=+6%28x-0.893149823923446%29%2A%28x--0.559816490590112%29
Again, the answer is: 0.893149823923446, -0.559816490590112. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+6%2Ax%5E2%2B-2%2Ax%2B-3+%29