What two numbers multiply to 415 and add up to -416?

Here we answer the question: "What two numbers multiply to 415 and add up to -416?"

The answer to your question is:

-415 and -1

Below we illustrate and prove that -415 and -1 multiply to 415 and add up to -416:

-415 × -1 = 415
-415 + -1 = -416

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

x² - 416x + 415 = 0

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

(x - 415 ) (x - 1)

To summarize, since -415 and -1 multiply to 415 and add up -416, you know that the following is true:

x² - 416x + 415 = (x - 415 ) (x - 1)

Multiply To One Number and Add Up To Another
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