SOLUTION: 3m^2+ 7m+ 4

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Question 310993: 3m^2+ 7m+ 4
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation am%5E2%2Bbm%2Bc=0 (in our case 3m%5E2%2B7m%2B4+=+0) has the following solutons:

m%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=%287%29%5E2-4%2A3%2A4=1.

Discriminant d=1 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-7%2B-sqrt%28+1+%29%29%2F2%5Ca.

m%5B1%5D+=+%28-%287%29%2Bsqrt%28+1+%29%29%2F2%5C3+=+-1
m%5B2%5D+=+%28-%287%29-sqrt%28+1+%29%29%2F2%5C3+=+-1.33333333333333

Quadratic expression 3m%5E2%2B7m%2B4 can be factored:
3m%5E2%2B7m%2B4+=+3%28m--1%29%2A%28m--1.33333333333333%29
Again, the answer is: -1, -1.33333333333333. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+3%2Ax%5E2%2B7%2Ax%2B4+%29