SOLUTION: Use the quadratic formula to solve each of the following quadratic equations. 3x^2-2x+1=0 thank you!

Question 80241: Use the quadratic formula to solve each of the following quadratic equations.
3x^2-2x+1=0
thank you!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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 -8 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 -8 is + or - .

The solution is

Here's your graph:

So our solution is

or
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