What two numbers multiply to 408 and add up to -59?

Here we answer the question: "What two numbers multiply to 408 and add up to -59?"

The answer to your question is:

-51 and -8

Below we illustrate and prove that -51 and -8 multiply to 408 and add up to -59:

-51 × -8 = 408
-51 + -8 = -59

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

x² - 59x + 408 = 0

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

(x - 51 ) (x - 8)

To summarize, since -51 and -8 multiply to 408 and add up -59, you know that the following is true:

x² - 59x + 408 = (x - 51 ) (x - 8)

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.