What two numbers multiply to -407 and add up to 406?

Here we answer the question: "What two numbers multiply to -407 and add up to 406?"

The answer to your question is:

-1 and 407

Below we illustrate and prove that -1 and 407 multiply to -407 and add up to 406:

-1 × 407 = -407
-1 + 407 = 406

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

x² + 406x - 407 = 0

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

(x - 1 ) (x + 407)

To summarize, since -1 and 407 multiply to -407 and add up 406, you know that the following is true:

x² + 406x - 407 = (x - 1 ) (x + 407)

Multiply To One Number and Add Up To Another
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