What two numbers multiply to -45 and add up to 44?

Here we answer the question: "What two numbers multiply to -45 and add up to 44?"

The answer to your question is:

-1 and 45

Below we illustrate and prove that -1 and 45 multiply to -45 and add up to 44:

-1 × 45 = -45
-1 + 45 = 44

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

x² + 44x - 45 = 0

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

(x - 1 ) (x + 45)

To summarize, since -1 and 45 multiply to -45 and add up 44, you know that the following is true:

x² + 44x - 45 = (x - 1 ) (x + 45)

Multiply To One Number and Add Up To Another
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