What two numbers multiply to -413 and add up to 52?

Here we answer the question: "What two numbers multiply to -413 and add up to 52?"

The answer to your question is:

-7 and 59

Below we illustrate and prove that -7 and 59 multiply to -413 and add up to 52:

-7 × 59 = -413
-7 + 59 = 52

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

x² + 52x - 413 = 0

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

(x - 7 ) (x + 59)

To summarize, since -7 and 59 multiply to -413 and add up 52, you know that the following is true:

x² + 52x - 413 = (x - 7 ) (x + 59)

Multiply To One Number and Add Up To Another
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