What two numbers multiply to -413 and add up to -52?

Here we answer the question: "What two numbers multiply to -413 and add up to -52?"

The answer to your question is:

-59 and 7

Below we illustrate and prove that -59 and 7 multiply to -413 and add up to -52:

-59 × 7 = -413
-59 + 7 = -52

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

x² - 52x - 413 = 0

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

(x - 59 ) (x + 7)

To summarize, since -59 and 7 multiply to -413 and add up -52, you know that the following is true:

x² - 52x - 413 = (x - 59 ) (x + 7)

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.