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Solve $\color{blue}{x^2-4x+1 = 0}$ using factoring.

## Answer

$$ \color{blue}{ x_1 = 2-\sqrt{ 3 } }~~ \text{and}~~ \color{blue}{ x_2 = 2+\sqrt{ 3 } } $$

## Explanation

First we need to factor trinomial $ \color{blue}{ x^2-4x+1 } $ and than we use factored form to solve an equation $ \color{blue}{ x^2-4x+1 = 0} $.

Since the quadratic trinomial cannot be factored out we solved the problem using quadratic formula.

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