SOLUTION: I'm stuck on this problem and it's giving me fits. Could you please help me? Use the quadratic formula to solve the equation. 6x^2+5x+8=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: I'm stuck on this problem and it's giving me fits. Could you please help me? Use the quadratic formula to solve the equation. 6x^2+5x+8=0      Log On


   



Question 289195: I'm stuck on this problem and it's giving me fits. Could you please help me?
Use the quadratic formula to solve the equation.
6x^2+5x+8=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 6x%5E2%2B5x%2B8+=+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=%285%29%5E2-4%2A6%2A8=-167.

The discriminant -167 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 -167 is + or - sqrt%28+167%29+=+12.9228479833201.

The solution is

Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+6%2Ax%5E2%2B5%2Ax%2B8+%29