What two numbers multiply to -624 and add up to 35?

Here we answer the question: "What two numbers multiply to -624 and add up to 35?"

The answer to your question is:

-13 and 48

Below we illustrate and prove that -13 and 48 multiply to -624 and add up to 35:

-13 × 48 = -624
-13 + 48 = 35

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

x² + 35x - 624 = 0

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

(x - 13 ) (x + 48)

To summarize, since -13 and 48 multiply to -624 and add up 35, you know that the following is true:

x² + 35x - 624 = (x - 13 ) (x + 48)

Multiply To One Number and Add Up To Another
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