What two numbers multiply to -40 and add up to 39?

Here we answer the question: "What two numbers multiply to -40 and add up to 39?"

The answer to your question is:

-1 and 40

Below we illustrate and prove that -1 and 40 multiply to -40 and add up to 39:

-1 × 40 = -40
-1 + 40 = 39

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

x² + 39x - 40 = 0

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

(x - 1 ) (x + 40)

To summarize, since -1 and 40 multiply to -40 and add up 39, you know that the following is true:

x² + 39x - 40 = (x - 1 ) (x + 40)

Multiply To One Number and Add Up To Another
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