What two numbers multiply to 565 and add up to -566?

Here we answer the question: "What two numbers multiply to 565 and add up to -566?"

The answer to your question is:

-565 and -1

Below we illustrate and prove that -565 and -1 multiply to 565 and add up to -566:

-565 × -1 = 565
-565 + -1 = -566

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

x² - 566x + 565 = 0

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

(x - 565 ) (x - 1)

To summarize, since -565 and -1 multiply to 565 and add up -566, you know that the following is true:

x² - 566x + 565 = (x - 565 ) (x - 1)

Multiply To One Number and Add Up To Another
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