SOLUTION: I could really use some help on this equation: Consider the equation 5x^2 + 5 = 8x. Find the complex solutions (real and non-real) of the equation, and simplify as much as poss

Question 1039081: I could really use some help on this equation:
Consider the equation 5x^2 + 5 = 8x. Find the complex solutions (real and non-real) of the equation, and simplify as much as possible. Show work please.
I really appreciate your help!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
5x^2 + 5 = 8x
5x^2 - 8x + 5 = 0

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:

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