SOLUTION: 25x^2+15x+9=0 I need to solve this by using the Quadratic Equation. It came out with -675 when I subtracted 225-900. Can you tell me what I should do next...

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 25x^2+15x+9=0 I need to solve this by using the Quadratic Equation. It came out with -675 when I subtracted 225-900. Can you tell me what I should do next...      Log On


   

Question 247407: 25x^2+15x+9=0 I need to solve this by using the Quadratic Equation. It came out with -675 when I subtracted 225-900. Can you tell me what I should do next...
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
25%5E2+%2B+15x+%2B+9+=+0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 25x%5E2%2B15x%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=%2815%29%5E2-4%2A25%2A9=-675.

The discriminant -675 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 -675 is + or - sqrt%28+675%29+=+25.9807621135332.

The solution is

Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+25%2Ax%5E2%2B15%2Ax%2B9+%29