What two numbers multiply to 51 and add up to -20?

Here we answer the question: "What two numbers multiply to 51 and add up to -20?"

The answer to your question is:

-17 and -3

Below we illustrate and prove that -17 and -3 multiply to 51 and add up to -20:

-17 × -3 = 51
-17 + -3 = -20

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

x² - 20x + 51 = 0

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

(x - 17 ) (x - 3)

To summarize, since -17 and -3 multiply to 51 and add up -20, you know that the following is true:

x² - 20x + 51 = (x - 17 ) (x - 3)

Multiply To One Number and Add Up To Another
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