What two numbers multiply to -689 and add up to 40?

Here we answer the question: "What two numbers multiply to -689 and add up to 40?"

The answer to your question is:

-13 and 53

Below we illustrate and prove that -13 and 53 multiply to -689 and add up to 40:

-13 × 53 = -689
-13 + 53 = 40

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

x² + 40x - 689 = 0

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

(x - 13 ) (x + 53)

To summarize, since -13 and 53 multiply to -689 and add up 40, you know that the following is true:

x² + 40x - 689 = (x - 13 ) (x + 53)

Multiply To One Number and Add Up To Another
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