What two numbers multiply to -420 and add up to 13?

Here we answer the question: "What two numbers multiply to -420 and add up to 13?"

The answer to your question is:

-15 and 28

Below we illustrate and prove that -15 and 28 multiply to -420 and add up to 13:

-15 × 28 = -420
-15 + 28 = 13

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

x² + 13x - 420 = 0

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

(x - 15 ) (x + 28)

To summarize, since -15 and 28 multiply to -420 and add up 13, you know that the following is true:

x² + 13x - 420 = (x - 15 ) (x + 28)

Multiply To One Number and Add Up To Another
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