SOLUTION: help me solve five x squared+80

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: help me solve five x squared+80      Log On


   



Question 322076: help me solve five x squared+80
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2%2B80=0 factor 5 out first
5%28x%5E2%2B16%29=0factor the
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B0x%2B16+=+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=%280%29%5E2-4%2A1%2A16=-64.

The discriminant -64 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 -64 is + or - sqrt%28+64%29+=+8.

The solution is x%5B12%5D+=+%28-0%2B-+i%2Asqrt%28+-64+%29%29%2F2%5C1+=++%28-0%2B-+i%2A8%29%2F2%5C1+

Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B0%2Ax%2B16+%29