What two numbers multiply to -208 and add up to 48?

Here we answer the question: "What two numbers multiply to -208 and add up to 48?"

The answer to your question is:

-4 and 52

Below we illustrate and prove that -4 and 52 multiply to -208 and add up to 48:

-4 × 52 = -208
-4 + 52 = 48

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

x² + 48x - 208 = 0

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

(x - 4 ) (x + 52)

To summarize, since -4 and 52 multiply to -208 and add up 48, you know that the following is true:

x² + 48x - 208 = (x - 4 ) (x + 52)

Multiply To One Number and Add Up To Another
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