What two numbers multiply to 180 and add up to -49?

Here we answer the question: "What two numbers multiply to 180 and add up to -49?"

The answer to your question is:

-45 and -4

Below we illustrate and prove that -45 and -4 multiply to 180 and add up to -49:

-45 × -4 = 180
-45 + -4 = -49

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

x² - 49x + 180 = 0

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

(x - 45 ) (x - 4)

To summarize, since -45 and -4 multiply to 180 and add up -49, you know that the following is true:

x² - 49x + 180 = (x - 45 ) (x - 4)

Multiply To One Number and Add Up To Another
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