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:

-4 and 56

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

-4 × 56 = -224
-4 + 56 = 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 - 4 ) (x + 56)

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

x² + 52x - 224 = (x - 4 ) (x + 56)

Multiply To One Number and Add Up To Another
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