What two numbers multiply to 54 and add up to -55?

Here we answer the question: "What two numbers multiply to 54 and add up to -55?"

The answer to your question is:

-54 and -1

Below we illustrate and prove that -54 and -1 multiply to 54 and add up to -55:

-54 × -1 = 54
-54 + -1 = -55

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

x² - 55x + 54 = 0

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

(x - 54 ) (x - 1)

To summarize, since -54 and -1 multiply to 54 and add up -55, you know that the following is true:

x² - 55x + 54 = (x - 54 ) (x - 1)

Multiply To One Number and Add Up To Another
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