What two numbers multiply to 53 and add up to -54?

Here we answer the question: "What two numbers multiply to 53 and add up to -54?"

The answer to your question is:

-53 and -1

Below we illustrate and prove that -53 and -1 multiply to 53 and add up to -54:

-53 × -1 = 53
-53 + -1 = -54

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

x² - 54x + 53 = 0

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

(x - 53 ) (x - 1)

To summarize, since -53 and -1 multiply to 53 and add up -54, you know that the following is true:

x² - 54x + 53 = (x - 53 ) (x - 1)

Multiply To One Number and Add Up To Another
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