# How do you solve #x^2 = 4x + 12#?

##### 2 Answers

#### Answer:

#### Explanation:

By moving

We take the coefficient on the

Since our goal is to rewrite our equation in the form of

We replace our

Now, we are looking for two numbers whose product gives

We can see that

Taking the square root of both sides yields

Adding

So our solutions are

#### Answer:

-2 and 6

#### Explanation:

Find 2 numbers (real roots), that have opposite signs, knowing the sum (-b = 4) and the product (c = -12). They make the factor pair

(-2, 6) --> sum (4) and product (-12).

2 real roots: -2, and 6