What two numbers multiply to -490 and add up to -21?

Here we answer the question: "What two numbers multiply to -490 and add up to -21?"

The answer to your question is:

-35 and 14

Below we illustrate and prove that -35 and 14 multiply to -490 and add up to -21:

-35 × 14 = -490
-35 + 14 = -21

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

x² - 21x - 490 = 0

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

(x - 35 ) (x + 14)

To summarize, since -35 and 14 multiply to -490 and add up -21, you know that the following is true:

x² - 21x - 490 = (x - 35 ) (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.