What two numbers multiply to -224 and add up to -52?

Here we answer the question: "What two numbers multiply to -224 and add up to -52?"

The answer to your question is:

-56 and 4

Below we illustrate and prove that -56 and 4 multiply to -224 and add up to -52:

-56 × 4 = -224
-56 + 4 = -52

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

x² - 52x - 224 = 0

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

(x - 56 ) (x + 4)

To summarize, since -56 and 4 multiply to -224 and add up -52, you know that the following is true:

x² - 52x - 224 = (x - 56 ) (x + 4)

Multiply To One Number and Add Up To Another
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