What two numbers multiply to 120 and add up to -23?

Here we answer the question: "What two numbers multiply to 120 and add up to -23?"

The answer to your question is:

-15 and -8

Below we illustrate and prove that -15 and -8 multiply to 120 and add up to -23:

-15 × -8 = 120
-15 + -8 = -23

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

x² - 23x + 120 = 0

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

(x - 15 ) (x - 8)

To summarize, since -15 and -8 multiply to 120 and add up -23, you know that the following is true:

x² - 23x + 120 = (x - 15 ) (x - 8)

Multiply To One Number and Add Up To Another
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