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:

-10 and 41

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

-10 × 41 = -410
-10 + 41 = 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 - 10 ) (x + 41)

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

x² + 31x - 410 = (x - 10 ) (x + 41)

Multiply To One Number and Add Up To Another
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