What two numbers multiply to 50 and add up to -51?

Here we answer the question: "What two numbers multiply to 50 and add up to -51?"

The answer to your question is:

-50 and -1

Below we illustrate and prove that -50 and -1 multiply to 50 and add up to -51:

-50 × -1 = 50
-50 + -1 = -51

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

x² - 51x + 50 = 0

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

(x - 50 ) (x - 1)

To summarize, since -50 and -1 multiply to 50 and add up -51, you know that the following is true:

x² - 51x + 50 = (x - 50 ) (x - 1)

Multiply To One Number and Add Up To Another
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