What two numbers multiply to 473 and add up to -54?

Here we answer the question: "What two numbers multiply to 473 and add up to -54?"

The answer to your question is:

-43 and -11

Below we illustrate and prove that -43 and -11 multiply to 473 and add up to -54:

-43 × -11 = 473
-43 + -11 = -54

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

x² - 54x + 473 = 0

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

(x - 43 ) (x - 11)

To summarize, since -43 and -11 multiply to 473 and add up -54, you know that the following is true:

x² - 54x + 473 = (x - 43 ) (x - 11)

Multiply To One Number and Add Up To Another
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