What two numbers multiply to -401 and add up to 400?

Here we answer the question: "What two numbers multiply to -401 and add up to 400?"

The answer to your question is:

-1 and 401

Below we illustrate and prove that -1 and 401 multiply to -401 and add up to 400:

-1 × 401 = -401
-1 + 401 = 400

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

x² + 400x - 401 = 0

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

(x - 1 ) (x + 401)

To summarize, since -1 and 401 multiply to -401 and add up 400, you know that the following is true:

x² + 400x - 401 = (x - 1 ) (x + 401)

Multiply To One Number and Add Up To Another
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