What two numbers multiply to -510 and add up to -19?

Here we answer the question: "What two numbers multiply to -510 and add up to -19?"

The answer to your question is:

-34 and 15

Below we illustrate and prove that -34 and 15 multiply to -510 and add up to -19:

-34 × 15 = -510
-34 + 15 = -19

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

x² - 19x - 510 = 0

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

(x - 34 ) (x + 15)

To summarize, since -34 and 15 multiply to -510 and add up -19, you know that the following is true:

x² - 19x - 510 = (x - 34 ) (x + 15)

Multiply To One Number and Add Up To Another
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