# How do you solve #x^ { 2} - 11x + 19= - 5#?

##### 3 Answers

#### Explanation:

STEP ONE: Add

STEP TWO: Factor the equation! Two number that equal

THEREFORE,

#### Explanation:

First, we turn the equation so that it equals zero.

Let's see whether we could factor this.

We find the factors for 24:

1,24

2,12

3,8

4,6

-1,-24

-2,-12

-3,-8

-4,-6

We see that -3 and -8 add up to -11.

Therefore,

Therefore, our answers are 3 and 8.

You could have used the quadratic formula, but it is unnecessary in this case.

#### Explanation:

Rearrange the equation so it becomes a standard form quadratic equation,

#a=1# #b=-11# #c=24#

Plug those values into the quadratic formula: