SOLUTION: 3p^2-7p-40

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Question 580632: 3p^2-7p-40
Found 2 solutions by dfrazzetto, Alan3354:
Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
3p^2-7p-40
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ap%5E2%2Bbp%2Bc=0 (in our case 3p%5E2%2B-7p%2B-40+=+0) has the following solutons:

p%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%2A3%2A-40=529.

Discriminant d=529 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--7%2B-sqrt%28+529+%29%29%2F2%5Ca.

p%5B1%5D+=+%28-%28-7%29%2Bsqrt%28+529+%29%29%2F2%5C3+=+5
p%5B2%5D+=+%28-%28-7%29-sqrt%28+529+%29%29%2F2%5C3+=+-2.66666666666667

Quadratic expression 3p%5E2%2B-7p%2B-40 can be factored:
3p%5E2%2B-7p%2B-40+=+3%28p-5%29%2A%28p--2.66666666666667%29
Again, the answer is: 5, -2.66666666666667. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+3%2Ax%5E2%2B-7%2Ax%2B-40+%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3p^2-7p-40
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