SOLUTION: solve and write in simplest form {{{x^2-4x+1=0}}}

Question 22829: solve and write in simplest form

Answer by Alwayscheerful(414) (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 : .

Discriminant d=12 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3.73205080756888, 0.267949192431123. Here's your graph:

Hope this helps!
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