What two numbers multiply to -585 and add up to 32?

Here we answer the question: "What two numbers multiply to -585 and add up to 32?"

The answer to your question is:

-13 and 45

Below we illustrate and prove that -13 and 45 multiply to -585 and add up to 32:

-13 × 45 = -585
-13 + 45 = 32

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

x² + 32x - 585 = 0

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

(x - 13 ) (x + 45)

To summarize, since -13 and 45 multiply to -585 and add up 32, you know that the following is true:

x² + 32x - 585 = (x - 13 ) (x + 45)

Multiply To One Number and Add Up To Another
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