# Solve for {eq}x {/eq}: {eq}x^2 - 4x + 1 = 0 {/eq}.

## Question:

Solve for {eq}x {/eq}: {eq}x^2 - 4x + 1 = 0 {/eq}.

We are given a quadratic equation and we need to compute the values of the unknown variable. If possible, we can factor the quadratic equation. Otherwise, we can use the quadratic formula.

For a quadratic equation of the form {eq}a x^2+b x+c=0 {/eq}, the solutions are {eq}x= \dfrac{-b \pm \sqrt{b^2-4ac}}{2a} {/eq}.

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We are given a function {eq}x^2-4x+1=0 {/eq}

We cannot factor this quadratic equation, so we'll apply the quadratic formula, where {eq}a=1 ,...