What two numbers multiply to -424 and add up to 45?

Here we answer the question: "What two numbers multiply to -424 and add up to 45?"

The answer to your question is:

-8 and 53

Below we illustrate and prove that -8 and 53 multiply to -424 and add up to 45:

-8 × 53 = -424
-8 + 53 = 45

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

x² + 45x - 424 = 0

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

(x - 8 ) (x + 53)

To summarize, since -8 and 53 multiply to -424 and add up 45, you know that the following is true:

x² + 45x - 424 = (x - 8 ) (x + 53)

Multiply To One Number and Add Up To Another
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