What two numbers multiply to -589 and add up to -12?

Here we answer the question: "What two numbers multiply to -589 and add up to -12?"

The answer to your question is:

-31 and 19

Below we illustrate and prove that -31 and 19 multiply to -589 and add up to -12:

-31 × 19 = -589
-31 + 19 = -12

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

x² - 12x - 589 = 0

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

(x - 31 ) (x + 19)

To summarize, since -31 and 19 multiply to -589 and add up -12, you know that the following is true:

x² - 12x - 589 = (x - 31 ) (x + 19)

Multiply To One Number and Add Up To Another
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