What two numbers multiply to 456 and add up to -457?

Here we answer the question: "What two numbers multiply to 456 and add up to -457?"

The answer to your question is:

-456 and -1

Below we illustrate and prove that -456 and -1 multiply to 456 and add up to -457:

-456 × -1 = 456
-456 + -1 = -457

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

x² - 457x + 456 = 0

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

(x - 456 ) (x - 1)

To summarize, since -456 and -1 multiply to 456 and add up -457, you know that the following is true:

x² - 457x + 456 = (x - 456 ) (x - 1)

Multiply To One Number and Add Up To Another
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