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:

-14 and 35


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

-14 × 35 = -490
-14 + 35 = 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 - 14 ) (x + 35)

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

x2 + 21x - 490 = (x - 14 ) (x + 35)


Multiply To One Number and Add Up To Another
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