What two numbers multiply to 51 and add up to -52?

Here we answer the question: "What two numbers multiply to 51 and add up to -52?"

The answer to your question is:

-51 and -1

Below we illustrate and prove that -51 and -1 multiply to 51 and add up to -52:

-51 × -1 = 51
-51 + -1 = -52

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

x² - 52x + 51 = 0

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

(x - 51 ) (x - 1)

To summarize, since -51 and -1 multiply to 51 and add up -52, you know that the following is true:

x² - 52x + 51 = (x - 51 ) (x - 1)

Multiply To One Number and Add Up To Another
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