What two numbers multiply to 457 and add up to -458?

Here we answer the question: "What two numbers multiply to 457 and add up to -458?"

The answer to your question is:

-457 and -1

Below we illustrate and prove that -457 and -1 multiply to 457 and add up to -458:

-457 × -1 = 457
-457 + -1 = -458

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

x² - 458x + 457 = 0

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

(x - 457 ) (x - 1)

To summarize, since -457 and -1 multiply to 457 and add up -458, you know that the following is true:

x² - 458x + 457 = (x - 457 ) (x - 1)

Multiply To One Number and Add Up To Another
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