SOLUTION: solve quadratic equation x^2=6x-3

Question 191715: solve quadratic equation
x^2=6x-3
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
x^2=6x-3
Move all terms to the left:
x^2-6x+3 = 0
Since we can't factor, we must resort to the quadratic equation.
Doing so, yields two solutions:
x = {5.449, 0.551}
.
Details of quadratic equation 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=24 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5.44948974278318, 0.550510257216822. Here's your graph:

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