What two numbers multiply to -416 and add up to 19?

Here we answer the question: "What two numbers multiply to -416 and add up to 19?"

The answer to your question is:

-13 and 32

Below we illustrate and prove that -13 and 32 multiply to -416 and add up to 19:

-13 × 32 = -416
-13 + 32 = 19

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

x² + 19x - 416 = 0

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

(x - 13 ) (x + 32)

To summarize, since -13 and 32 multiply to -416 and add up 19, you know that the following is true:

x² + 19x - 416 = (x - 13 ) (x + 32)

Multiply To One Number and Add Up To Another
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