What two numbers multiply to 22 and add up to -23?

Here we answer the question: "What two numbers multiply to 22 and add up to -23?"

The answer to your question is:

-22 and -1

Below we illustrate and prove that -22 and -1 multiply to 22 and add up to -23:

-22 × -1 = 22
-22 + -1 = -23

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

x² - 23x + 22 = 0

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

(x - 22 ) (x - 1)

To summarize, since -22 and -1 multiply to 22 and add up -23, you know that the following is true:

x² - 23x + 22 = (x - 22 ) (x - 1)

Multiply To One Number and Add Up To Another
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