What two numbers multiply to -415 and add up to 414?

Here we answer the question: "What two numbers multiply to -415 and add up to 414?"

The answer to your question is:

-1 and 415

Below we illustrate and prove that -1 and 415 multiply to -415 and add up to 414:

-1 × 415 = -415
-1 + 415 = 414

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

x² + 414x - 415 = 0

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

(x - 1 ) (x + 415)

To summarize, since -1 and 415 multiply to -415 and add up 414, you know that the following is true:

x² + 414x - 415 = (x - 1 ) (x + 415)

Multiply To One Number and Add Up To Another
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