SOLUTION: 1+×/1+×^2=2/5

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Question 1048225: 1+×/1+×^2=2/5
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Bx%2F1%2Bx%5E2=2%2F5
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1 + x + x^2 = 2/5
x^2 + x + 0.6 = 0
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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 1x%5E2%2B1x%2B0.6+=+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=%281%29%5E2-4%2A1%2A0.6=-1.4.

The discriminant -1.4 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -1.4 is + or - sqrt%28+1.4%29+=+1.18321595661992.

The solution is , or
Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B1%2Ax%2B0.6+%29