What two numbers multiply to 565 and add up to -118?

Here we answer the question: "What two numbers multiply to 565 and add up to -118?"

The answer to your question is:

-113 and -5

Below we illustrate and prove that -113 and -5 multiply to 565 and add up to -118:

-113 × -5 = 565
-113 + -5 = -118

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

x² - 118x + 565 = 0

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

(x - 113 ) (x - 5)

To summarize, since -113 and -5 multiply to 565 and add up -118, you know that the following is true:

x² - 118x + 565 = (x - 113 ) (x - 5)

Multiply To One Number and Add Up To Another
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