What two numbers multiply to 578 and add up to -51?

Here we answer the question: "What two numbers multiply to 578 and add up to -51?"

The answer to your question is:

-34 and -17

Below we illustrate and prove that -34 and -17 multiply to 578 and add up to -51:

-34 × -17 = 578
-34 + -17 = -51

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

x² - 51x + 578 = 0

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

(x - 34 ) (x - 17)

To summarize, since -34 and -17 multiply to 578 and add up -51, you know that the following is true:

x² - 51x + 578 = (x - 34 ) (x - 17)

Multiply To One Number and Add Up To Another
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