# How do you solve #x^2-20x+99=0#?

##### 3 Answers

See the solution process below:

#### Explanation:

Because

We can now solve each term for

Solution 1)

Solution 2)

The solution is:

#### Explanation:

There are a number of ways to solve polynomials. We can graph the equation, or use the quadratic formula, or factor. Let's start with factoring and see if we can solve it that way. Then we'll move on to the quadratic formula

We are looking for two numbers that combine to

..............

Now we set each factor equal to

**Factor 1**

**Factor 2**

So, we solved the equation without using quadratic formula. If you want to use the quadratic formula, just plug

9 and 11

#### Explanation:

Find 2 real roots knowing sum (-b = 20) and product (c = 99).

They are: 9 and 11. (because sum = 20 and product 99)

NOTE: When a = 1, there is no need to solving by grouping and solving the 2 binomials.