What two numbers multiply to -270 and add up to 21?

Here we answer the question: "What two numbers multiply to -270 and add up to 21?"

The answer to your question is:

-9 and 30

Below we illustrate and prove that -9 and 30 multiply to -270 and add up to 21:

-9 × 30 = -270
-9 + 30 = 21

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

x² + 21x - 270 = 0

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

(x - 9 ) (x + 30)

To summarize, since -9 and 30 multiply to -270 and add up 21, you know that the following is true:

x² + 21x - 270 = (x - 9 ) (x + 30)

Multiply To One Number and Add Up To Another
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