What two numbers multiply to -405 and add up to 404?

Here we answer the question: "What two numbers multiply to -405 and add up to 404?"

The answer to your question is:

-1 and 405

Below we illustrate and prove that -1 and 405 multiply to -405 and add up to 404:

-1 × 405 = -405
-1 + 405 = 404

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

x² + 404x - 405 = 0

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

(x - 1 ) (x + 405)

To summarize, since -1 and 405 multiply to -405 and add up 404, you know that the following is true:

x² + 404x - 405 = (x - 1 ) (x + 405)

Multiply To One Number and Add Up To Another
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