SOLUTION: Find all real or imaginary roots of 5x^2 + 5x + 4 = 0. (If there is more than one root, show additional roots

Question 84871This question is from textbook Elementary and intermediate Algebra
: Find all real or imaginary roots of 5x^2 + 5x + 4 = 0.
(If there is more than one root, show additional roots
This question is from textbook Elementary and intermediate Algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We can find the roots of this quadratic with the quadratic formula

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -55 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 -55 is + or - .

The solution is

Here's your graph:

So the quadratic has two imaginary roots

or
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