What two numbers multiply to -410 and add up to -409?

Here we answer the question: "What two numbers multiply to -410 and add up to -409?"

The answer to your question is:

-410 and 1

Below we illustrate and prove that -410 and 1 multiply to -410 and add up to -409:

-410 × 1 = -410
-410 + 1 = -409

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

x² - 409x - 410 = 0

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

(x - 410 ) (x + 1)

To summarize, since -410 and 1 multiply to -410 and add up -409, you know that the following is true:

x² - 409x - 410 = (x - 410 ) (x + 1)

Multiply To One Number and Add Up To Another
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