SOLUTION: Please solve this equation by using the quadratic formula x^2 - 5x + 9 = 0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Please solve this equation by using the quadratic formula x^2 - 5x + 9 = 0       Log On


   



Question 258055: Please solve this equation by using the quadratic formula
x^2 - 5x + 9 = 0

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-5x%2B9+=+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=%28-5%29%5E2-4%2A1%2A9=-11.

The discriminant -11 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 -11 is + or - sqrt%28+11%29+=+3.3166247903554.

The solution is

Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-5%2Ax%2B9+%29