SOLUTION: 3x^2-5x+4 I don't understand how to plot this parabola. I end up getting a +- 5 sqrt -23/6 using quadratic formula.

Question 344800: 3x^2-5x+4
I don't understand how to plot this parabola. I end up getting a +- 5 sqrt -23/6 using quadratic formula.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
re: Your question
so I still don't understand how online calculators are getting x= 0.83333 +- 0.79930i. Where does the .83333 come from? "I understand that root(-23) = .79930i, but cannot figure out .83333"
.
online calculators are following thru with the division by the 6 in the denominator
-(-5)/2*3 or 5/6 is .83333
sqrt(-)23*i /2*3 = +-4.79583*i /6 = +-.79930i
.
Hi, it does end up with a square root of a negative number(-23): See below:
That means there are no solutions among real numbers.

.
Using Quadratic Formaula to solve:

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 -23 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 -23 is + or - .

The solution is

Here's your graph:

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