What two numbers multiply to -180 and add up to 57?

Here we answer the question: "What two numbers multiply to -180 and add up to 57?"

The answer to your question is:

-3 and 60

Below we illustrate and prove that -3 and 60 multiply to -180 and add up to 57:

-3 × 60 = -180
-3 + 60 = 57

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

x² + 57x - 180 = 0

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

(x - 3 ) (x + 60)

To summarize, since -3 and 60 multiply to -180 and add up 57, you know that the following is true:

x² + 57x - 180 = (x - 3 ) (x + 60)

Multiply To One Number and Add Up To Another
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