SOLUTION: find x-cordinates f(x)=-2x^2+2x+9

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Question 263731: find x-cordinates
f(x)=-2x^2+2x+9

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
first divide all by 2 then do as follows
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B1x%2B4.5+=+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%2A4.5=-17.

The discriminant -17 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 -17 is + or - sqrt%28+17%29+=+4.12310562561766.

The solution is

Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B1%2Ax%2B4.5+%29