What two numbers multiply to -406 and add up to 15?

Here we answer the question: "What two numbers multiply to -406 and add up to 15?"

The answer to your question is:

-14 and 29

Below we illustrate and prove that -14 and 29 multiply to -406 and add up to 15:

-14 × 29 = -406
-14 + 29 = 15

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

x² + 15x - 406 = 0

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

(x - 14 ) (x + 29)

To summarize, since -14 and 29 multiply to -406 and add up 15, you know that the following is true:

x² + 15x - 406 = (x - 14 ) (x + 29)

Multiply To One Number and Add Up To Another
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