What two numbers multiply to -45 and add up to -4?

Here we answer the question: "What two numbers multiply to -45 and add up to -4?"

The answer to your question is:

-9 and 5

Below we illustrate and prove that -9 and 5 multiply to -45 and add up to -4:

-9 × 5 = -45
-9 + 5 = -4

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

x² - 4x - 45 = 0

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

(x - 9 ) (x + 5)

To summarize, since -9 and 5 multiply to -45 and add up -4, you know that the following is true:

x² - 4x - 45 = (x - 9 ) (x + 5)

Multiply To One Number and Add Up To Another
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