# How do you find the roots, real and imaginary, of #y=x^2 - 3x + 2 # using the quadratic formula?

##### 1 Answer

You can find all the roots of

#### Explanation:

The quadratic formula is:

The equation representing any given quadratic, or parabola, can be:

So all we need to do is assign values of our equation to their respective variables, and then substitute them into the quadratic formula to solve. In the equation

**Given Quadratic Formula**

**Substitute**

**Simplify**

**Simplify Some More**

**Simplify A Little More**

**Simplify Even More**

*OR* **Isolate Both Possible Roots**

*OR* **Simplify (For the Last Time..)**

This means that the roots, or x-intercepts, of our quadratic equation are at the points: