What two numbers multiply to -42 and add up to 19?

Here we answer the question: "What two numbers multiply to -42 and add up to 19?"

The answer to your question is:

-2 and 21

Below we illustrate and prove that -2 and 21 multiply to -42 and add up to 19:

-2 × 21 = -42
-2 + 21 = 19

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

x² + 19x - 42 = 0

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

(x - 2 ) (x + 21)

To summarize, since -2 and 21 multiply to -42 and add up 19, you know that the following is true:

x² + 19x - 42 = (x - 2 ) (x + 21)

Multiply To One Number and Add Up To Another
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