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:

-10 and 51

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

-10 × 51 = -510
-10 + 51 = 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 - 10 ) (x + 51)

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

x² + 41x - 510 = (x - 10 ) (x + 51)

Multiply To One Number and Add Up To Another
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