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:

1 and 23

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

1 × 23 = 23
1 + 23 = 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 + 1 ) (x + 23)

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

x² + 24x + 23 = (x + 1 ) (x + 23)

Multiply To One Number and Add Up To Another
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