What two numbers multiply to 459 and add up to -460?

Here we answer the question: "What two numbers multiply to 459 and add up to -460?"

The answer to your question is:

-459 and -1

Below we illustrate and prove that -459 and -1 multiply to 459 and add up to -460:

-459 × -1 = 459
-459 + -1 = -460

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

x² - 460x + 459 = 0

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

(x - 459 ) (x - 1)

To summarize, since -459 and -1 multiply to 459 and add up -460, you know that the following is true:

x² - 460x + 459 = (x - 459 ) (x - 1)

Multiply To One Number and Add Up To Another
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