What two numbers multiply to -510 and add up to 97?

Here we answer the question: "What two numbers multiply to -510 and add up to 97?"

The answer to your question is:

-5 and 102

Below we illustrate and prove that -5 and 102 multiply to -510 and add up to 97:

-5 × 102 = -510
-5 + 102 = 97

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

x² + 97x - 510 = 0

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

(x - 5 ) (x + 102)

To summarize, since -5 and 102 multiply to -510 and add up 97, you know that the following is true:

x² + 97x - 510 = (x - 5 ) (x + 102)

Multiply To One Number and Add Up To Another
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