# How Do I Solve Quadratic Equations For Their Roots Using The Quadratic Formula?

A third method for solving quadratic equations for their roots is the quadratic formula. Not all quadratic equations are easily factorable, and likewise, completing the square can be cumbersome if the equation is less than neat. The great thing about the quadratic formula is that it works for every quadratic equation every time.

The standard form of a quadratic equation in polynomial form is

The quadratic formula is the following

Consider the quadratic equation

We can easily enter the values from the polynomial into the quadratic formula. It should read

After simplifying, x-=(-5+/-1)/2, so x=(-5+1)/2 and x=(-5-1)/2 or x=-2 and x=-3.

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