What two numbers multiply to -403 and add up to 402?

Here we answer the question: "What two numbers multiply to -403 and add up to 402?"

The answer to your question is:

-1 and 403

Below we illustrate and prove that -1 and 403 multiply to -403 and add up to 402:

-1 × 403 = -403
-1 + 403 = 402

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

x² + 402x - 403 = 0

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

(x - 1 ) (x + 403)

To summarize, since -1 and 403 multiply to -403 and add up 402, you know that the following is true:

x² + 402x - 403 = (x - 1 ) (x + 403)

Multiply To One Number and Add Up To Another
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