What two numbers multiply to -406 and add up to -15?

Here we answer the question: "What two numbers multiply to -406 and add up to -15?"

The answer to your question is:

-29 and 14

Below we illustrate and prove that -29 and 14 multiply to -406 and add up to -15:

-29 × 14 = -406
-29 + 14 = -15

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

x² - 15x - 406 = 0

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

(x - 29 ) (x + 14)

To summarize, since -29 and 14 multiply to -406 and add up -15, you know that the following is true:

x² - 15x - 406 = (x - 29 ) (x + 14)

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.