What two numbers multiply to 40 and add up to -13?

Here we answer the question: "What two numbers multiply to 40 and add up to -13?"

The answer to your question is:

-8 and -5

Below we illustrate and prove that -8 and -5 multiply to 40 and add up to -13:

-8 × -5 = 40
-8 + -5 = -13

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² - 13x + 40 = 0

If so, the solution to factor the quadratic equation above is:

(x - 8 ) (x - 5)

To summarize, since -8 and -5 multiply to 40 and add up -13, you know that the following is true:

x² - 13x + 40 = (x - 8 ) (x - 5)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.