What two numbers multiply to 510 and add up to -61?

Here we answer the question: "What two numbers multiply to 510 and add up to -61?"

The answer to your question is:

-51 and -10

Below we illustrate and prove that -51 and -10 multiply to 510 and add up to -61:

-51 × -10 = 510
-51 + -10 = -61

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

x² - 61x + 510 = 0

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

(x - 51 ) (x - 10)

To summarize, since -51 and -10 multiply to 510 and add up -61, you know that the following is true:

x² - 61x + 510 = (x - 51 ) (x - 10)

Multiply To One Number and Add Up To Another
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