What two numbers multiply to -41 and add up to 40?

Here we answer the question: "What two numbers multiply to -41 and add up to 40?"

The answer to your question is:

-1 and 41

Below we illustrate and prove that -1 and 41 multiply to -41 and add up to 40:

-1 × 41 = -41
-1 + 41 = 40

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

x² + 40x - 41 = 0

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

(x - 1 ) (x + 41)

To summarize, since -1 and 41 multiply to -41 and add up 40, you know that the following is true:

x² + 40x - 41 = (x - 1 ) (x + 41)

Multiply To One Number and Add Up To Another
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