What two numbers multiply to 60 and add up to -61?

Here we answer the question: "What two numbers multiply to 60 and add up to -61?"

The answer to your question is:

-60 and -1

Below we illustrate and prove that -60 and -1 multiply to 60 and add up to -61:

-60 × -1 = 60
-60 + -1 = -61

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

x² - 61x + 60 = 0

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

(x - 60 ) (x - 1)

To summarize, since -60 and -1 multiply to 60 and add up -61, you know that the following is true:

x² - 61x + 60 = (x - 60 ) (x - 1)

Multiply To One Number and Add Up To Another
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