# How do you solve #x^2 - 5x+ 6 = 0#?

##### 1 Answer

Jan 11, 2018

#### Explanation:

**Given:**

**Step.1**

Consider

**Split the middle term** of the **Quadratic Expression**:

We can rewrite this in **factor form**:

Hence,

the factors are:

This would mean

either

Now we can write our solutions as

We can also **graph our quadratic** to verify our solutions

We analyze the graph and note the following:

**x-intercepts are**:

Hence, our **solutions** are verified.

Some additional pieces of useful information for you:

**Vertex** is at

And,

**Axis of Symmetry is at**