SOLUTION: Please help me with this equation:{{{ 9x^2+2x+4=0}}}

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Question 304051: Please help me with this equation:+9x%5E2%2B2x%2B4=0
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
9x^2+2x+4=0
.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 9x%5E2%2B2x%2B4+=+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=%282%29%5E2-4%2A9%2A4=-140.

The discriminant -140 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 -140 is + or - sqrt%28+140%29+=+11.8321595661992.

The solution is

Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+9%2Ax%5E2%2B2%2Ax%2B4+%29