SOLUTION: I need help (step by step) answering how to solve "0=2x^2+7x+3" using quadratic formula.

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Question 692550: I need help (step by step) answering how to solve "0=2x^2+7x+3" using quadratic formula.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I need help (step by step) answering how to solve "0=2x^2+7x+3" using quadratic formula.
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B7x%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=%287%29%5E2-4%2A2%2A3=25.

Discriminant d=25 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-7%2B-sqrt%28+25+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%287%29%2Bsqrt%28+25+%29%29%2F2%5C2+=+-0.5
x%5B2%5D+=+%28-%287%29-sqrt%28+25+%29%29%2F2%5C2+=+-3

Quadratic expression 2x%5E2%2B7x%2B3 can be factored:
2x%5E2%2B7x%2B3+=+%28x--0.5%29%2A%28x--3%29
Again, the answer is: -0.5, -3. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B7%2Ax%2B3+%29