What two numbers multiply to -60 and add up to 59?

Here we answer the question: "What two numbers multiply to -60 and add up to 59?"

The answer to your question is:

-1 and 60

Below we illustrate and prove that -1 and 60 multiply to -60 and add up to 59:

-1 × 60 = -60
-1 + 60 = 59

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

x² + 59x - 60 = 0

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

(x - 1 ) (x + 60)

To summarize, since -1 and 60 multiply to -60 and add up 59, you know that the following is true:

x² + 59x - 60 = (x - 1 ) (x + 60)

Multiply To One Number and Add Up To Another
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