What two numbers multiply to -722 and add up to 19?

Here we answer the question: "What two numbers multiply to -722 and add up to 19?"

The answer to your question is:

-19 and 38

Below we illustrate and prove that -19 and 38 multiply to -722 and add up to 19:

-19 × 38 = -722
-19 + 38 = 19

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

x² + 19x - 722 = 0

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

(x - 19 ) (x + 38)

To summarize, since -19 and 38 multiply to -722 and add up 19, you know that the following is true:

x² + 19x - 722 = (x - 19 ) (x + 38)

Multiply To One Number and Add Up To Another
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