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:

-5 and 9

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

-5 × 9 = -45
-5 + 9 = 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 - 5 ) (x + 9)

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

x² + 4x - 45 = (x - 5 ) (x + 9)

Multiply To One Number and Add Up To Another
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