SOLUTION: X^2-51x-8145=0

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Question 944307: X^2-51x-8145=0
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
X^2-51x-8145=0
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Use the quadratic equation:
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-51x%2B-8145+=+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=%28-51%29%5E2-4%2A1%2A-8145=35181.

Discriminant d=35181 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--51%2B-sqrt%28+35181+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-51%29%2Bsqrt%28+35181+%29%29%2F2%5C1+=+119.282994194044
x%5B2%5D+=+%28-%28-51%29-sqrt%28+35181+%29%29%2F2%5C1+=+-68.2829941940435

Quadratic expression 1x%5E2%2B-51x%2B-8145 can be factored:
1x%5E2%2B-51x%2B-8145+=+%28x-119.282994194044%29%2A%28x--68.2829941940435%29
Again, the answer is: 119.282994194044, -68.2829941940435. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-51%2Ax%2B-8145+%29