What two numbers multiply to -52 and add up to -9?

Here we answer the question: "What two numbers multiply to -52 and add up to -9?"

The answer to your question is:

-13 and 4

Below we illustrate and prove that -13 and 4 multiply to -52 and add up to -9:

-13 × 4 = -52
-13 + 4 = -9

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

x² - 9x - 52 = 0

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

(x - 13 ) (x + 4)

To summarize, since -13 and 4 multiply to -52 and add up -9, you know that the following is true:

x² - 9x - 52 = (x - 13 ) (x + 4)

Multiply To One Number and Add Up To Another
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