What two numbers multiply to -38 and add up to 17?

Here we answer the question: "What two numbers multiply to -38 and add up to 17?"

The answer to your question is:

-2 and 19

Below we illustrate and prove that -2 and 19 multiply to -38 and add up to 17:

-2 × 19 = -38
-2 + 19 = 17

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

x² + 17x - 38 = 0

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

(x - 2 ) (x + 19)

To summarize, since -2 and 19 multiply to -38 and add up 17, you know that the following is true:

x² + 17x - 38 = (x - 2 ) (x + 19)

Multiply To One Number and Add Up To Another
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