SOLUTION: Need help solving this quadratic equation -.01x^2 +30x - 3500 =0 Thanks

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Question 440253: Need help solving this quadratic equation
-.01x^2 +30x - 3500 =0
Thanks
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
-.01x2+30x-3500=0
-x2+3000x-350000=0
0=x2-3000x+350000
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-3000x%2B350000+=+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=%28-3000%29%5E2-4%2A1%2A350000=7600000.

Discriminant d=7600000 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--3000%2B-sqrt%28+7600000+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-3000%29%2Bsqrt%28+7600000+%29%29%2F2%5C1+=+2878.40487520902
x%5B2%5D+=+%28-%28-3000%29-sqrt%28+7600000+%29%29%2F2%5C1+=+121.595124790978

Quadratic expression 1x%5E2%2B-3000x%2B350000 can be factored:
1x%5E2%2B-3000x%2B350000+=+1%28x-2878.40487520902%29%2A%28x-121.595124790978%29
Again, the answer is: 2878.40487520902, 121.595124790978. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-3000%2Ax%2B350000+%29