What two numbers multiply to 575 and add up to -120?

Here we answer the question: "What two numbers multiply to 575 and add up to -120?"

The answer to your question is:

-115 and -5

Below we illustrate and prove that -115 and -5 multiply to 575 and add up to -120:

-115 × -5 = 575
-115 + -5 = -120

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

x² - 120x + 575 = 0

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

(x - 115 ) (x - 5)

To summarize, since -115 and -5 multiply to 575 and add up -120, you know that the following is true:

x² - 120x + 575 = (x - 115 ) (x - 5)

Multiply To One Number and Add Up To Another
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