What two numbers multiply to -510 and add up to 13?

Here we answer the question: "What two numbers multiply to -510 and add up to 13?"

The answer to your question is:

-17 and 30

Below we illustrate and prove that -17 and 30 multiply to -510 and add up to 13:

-17 × 30 = -510
-17 + 30 = 13

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

x² + 13x - 510 = 0

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

(x - 17 ) (x + 30)

To summarize, since -17 and 30 multiply to -510 and add up 13, you know that the following is true:

x² + 13x - 510 = (x - 17 ) (x + 30)

Multiply To One Number and Add Up To Another
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