What two numbers multiply to -208 and add up to 3?

Here we answer the question: "What two numbers multiply to -208 and add up to 3?"

The answer to your question is:

-13 and 16

Below we illustrate and prove that -13 and 16 multiply to -208 and add up to 3:

-13 × 16 = -208
-13 + 16 = 3

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

x² + 3x - 208 = 0

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

(x - 13 ) (x + 16)

To summarize, since -13 and 16 multiply to -208 and add up 3, you know that the following is true:

x² + 3x - 208 = (x - 13 ) (x + 16)

Multiply To One Number and Add Up To Another
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