What two numbers multiply to 360 and add up to -49?

Here we answer the question: "What two numbers multiply to 360 and add up to -49?"

The answer to your question is:

-40 and -9

Below we illustrate and prove that -40 and -9 multiply to 360 and add up to -49:

-40 × -9 = 360
-40 + -9 = -49

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

x² - 49x + 360 = 0

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

(x - 40 ) (x - 9)

To summarize, since -40 and -9 multiply to 360 and add up -49, you know that the following is true:

x² - 49x + 360 = (x - 40 ) (x - 9)

Multiply To One Number and Add Up To Another
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