What two numbers multiply to 560 and add up to -51?

Here we answer the question: "What two numbers multiply to 560 and add up to -51?"

The answer to your question is:

-35 and -16

Below we illustrate and prove that -35 and -16 multiply to 560 and add up to -51:

-35 × -16 = 560
-35 + -16 = -51

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

x² - 51x + 560 = 0

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

(x - 35 ) (x - 16)

To summarize, since -35 and -16 multiply to 560 and add up -51, you know that the following is true:

x² - 51x + 560 = (x - 35 ) (x - 16)

Multiply To One Number and Add Up To Another
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