SOLUTION: 2x^2 - 6x + 2 = 0

Question 618018: 2x^2 - 6x + 2 = 0
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
2x^2 - 6x + 2 = 0
divide both sides by 2:
x^2 - 3x + 1 = 0
Since you can't factor, apply the "quadratic formula" to get:
x = {2.618, 0.382}
.
Details of quadratic follows:

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 : .

Discriminant d=5 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.61803398874989, 0.381966011250105. Here's your graph:

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