What two numbers multiply to 510 and add up to -49?

Here we answer the question: "What two numbers multiply to 510 and add up to -49?"

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 -49:

-34 × -15 = 510
-34 + -15 = -49

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

x² - 49x + 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 -49, you know that the following is true:

x² - 49x + 510 = (x - 34 ) (x - 15)

Multiply To One Number and Add Up To Another
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