SOLUTION: how do you find the discriminant and tell the number of solutions of the equation??? 5x^2 - 2x +2 = 0 its algebra 2

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Question 187481: how do you find the discriminant and tell the number of solutions of the equation???

5x^2 - 2x +2 = 0

its algebra 2

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
how do you find the discriminant and tell the number of solutions of the equation???
5x^2 - 2x +2 = 0
That's well covered in the onsite solver:
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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 -36 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 -36 is + or - .

The solution is , or
Here's your graph:

Ignore what it says about factoring.
You can reduce it further:
(1+3i)/5
(1-3i)/5

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