What two numbers multiply to 23 and add up to -24?

Here we answer the question: "What two numbers multiply to 23 and add up to -24?"

The answer to your question is:

-23 and -1

Below we illustrate and prove that -23 and -1 multiply to 23 and add up to -24:

-23 × -1 = 23
-23 + -1 = -24

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

x² - 24x + 23 = 0

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

(x - 23 ) (x - 1)

To summarize, since -23 and -1 multiply to 23 and add up -24, you know that the following is true:

x² - 24x + 23 = (x - 23 ) (x - 1)

Multiply To One Number and Add Up To Another
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