SOLUTION: -0.5x^+175x-3300=0

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Question 235457: -0.5x^+175x-3300=0
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
-0.5x^2+175x-3300=0
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I graphed it and found a root at x = 20
-0.5(x^2-175x+3300) = 0
-0.5(x-20)(x-330)= 0
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x = 20 or x = 330
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Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
-0.5x^+175x-3300=0
x^2 - 350x + 6600 = 0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation a0%5E2%2Bb0%2Bc=0 (in our case 10%5E2%2B-3500%2B6600+=+0) has the following solutons:

0%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=%28-350%29%5E2-4%2A1%2A6600=96100.

Discriminant d=96100 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--350%2B-sqrt%28+96100+%29%29%2F2%5Ca.

0%5B1%5D+=+%28-%28-350%29%2Bsqrt%28+96100+%29%29%2F2%5C1+=+330
0%5B2%5D+=+%28-%28-350%29-sqrt%28+96100+%29%29%2F2%5C1+=+20

Quadratic expression 10%5E2%2B-3500%2B6600 can be factored:
10%5E2%2B-3500%2B6600+=+1%280-330%29%2A%280-20%29
Again, the answer is: 330, 20. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-350%2Ax%2B6600+%29