What two numbers multiply to -410 and add up to -31?

Here we answer the question: "What two numbers multiply to -410 and add up to -31?"

The answer to your question is:

-41 and 10

Below we illustrate and prove that -41 and 10 multiply to -410 and add up to -31:

-41 × 10 = -410
-41 + 10 = -31

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

x² - 31x - 410 = 0

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

(x - 41 ) (x + 10)

To summarize, since -41 and 10 multiply to -410 and add up -31, you know that the following is true:

x² - 31x - 410 = (x - 41 ) (x + 10)

Multiply To One Number and Add Up To Another
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