What two numbers multiply to -310 and add up to 21?

Here we answer the question: "What two numbers multiply to -310 and add up to 21?"

The answer to your question is:

-10 and 31

Below we illustrate and prove that -10 and 31 multiply to -310 and add up to 21:

-10 × 31 = -310
-10 + 31 = 21

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

x² + 21x - 310 = 0

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

(x - 10 ) (x + 31)

To summarize, since -10 and 31 multiply to -310 and add up 21, you know that the following is true:

x² + 21x - 310 = (x - 10 ) (x + 31)

Multiply To One Number and Add Up To Another
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