Question

Question #fef3e

Answer 1

We can solve this by the factoring method.
This video explains solving by factoring very well if you are still lost after this explanation.

`x^2+13x+42`

Looking at this quadratic equation we need to find two numbers that when multiplied give us `"42"` and when added give us `"13"`
So,

`x*y=42`

AND

`x+y=13`

---

In this case, your two numbers are 6 and 7

`6*7=42`

`6+7=13`

This means we have `(x+6)(x+7)`
but our final answer is `x=-6, -7`

Think of it like this...
We have:

`x+6=0`

AND

`x+7=0`

So we need to move our numbers to the right side of the equals sign to get the value of x. That is why they are negative.

`x=-6`

`x=-7`