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

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

The answer to your question is:

-59 and -1

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

-59 × -1 = 59
-59 + -1 = -60

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

x² - 60x + 59 = 0

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

(x - 59 ) (x - 1)

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

x² - 60x + 59 = (x - 59 ) (x - 1)

Multiply To One Number and Add Up To Another
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