What two numbers multiply to -510 and add up to -41?

Here we answer the question: "What two numbers multiply to -510 and add up to -41?"

The answer to your question is:

-51 and 10

Below we illustrate and prove that -51 and 10 multiply to -510 and add up to -41:

-51 × 10 = -510
-51 + 10 = -41

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

x² - 41x - 510 = 0

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

(x - 51 ) (x + 10)

To summarize, since -51 and 10 multiply to -510 and add up -41, you know that the following is true:

x² - 41x - 510 = (x - 51 ) (x + 10)

Multiply To One Number and Add Up To Another
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