What two numbers multiply to -506 and add up to -35?

Here we answer the question: "What two numbers multiply to -506 and add up to -35?"

The answer to your question is:

-46 and 11

Below we illustrate and prove that -46 and 11 multiply to -506 and add up to -35:

-46 × 11 = -506
-46 + 11 = -35

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

x² - 35x - 506 = 0

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

(x - 46 ) (x + 11)

To summarize, since -46 and 11 multiply to -506 and add up -35, you know that the following is true:

x² - 35x - 506 = (x - 46 ) (x + 11)

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.