What two numbers multiply to -278 and add up to 277?

Here we answer the question: "What two numbers multiply to -278 and add up to 277?"

The answer to your question is:

-1 and 278

Below we illustrate and prove that -1 and 278 multiply to -278 and add up to 277:

-1 × 278 = -278
-1 + 278 = 277

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

x² + 277x - 278 = 0

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

(x - 1 ) (x + 278)

To summarize, since -1 and 278 multiply to -278 and add up 277, you know that the following is true:

x² + 277x - 278 = (x - 1 ) (x + 278)

Multiply To One Number and Add Up To Another
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