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


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

Solve a Quadratic equation:

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}.

Answer and Explanation: 1

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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 ,...

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The Quadratic Formula: Definition & Example


Chapter 25 / Lesson 10

The quadratic formula is arguably one of the most well-known and important formulas in math. In this lesson, look at the definition of the quadratic formula, its standard form, how to plug in your values, and an example of the formula in action.

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