What two numbers multiply to 126 and add up to 23?

Here we answer the question: "What two numbers multiply to 126 and add up to 23?"

The answer to your question is:

9 and 14

Below we illustrate and prove that 9 and 14 multiply to 126 and add up to 23:

9 × 14 = 126
9 + 14 = 23

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

x² + 23x + 126 = 0

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

(x + 9 ) (x + 14)

To summarize, since 9 and 14 multiply to 126 and add up 23, you know that the following is true:

x² + 23x + 126 = (x + 9 ) (x + 14)

Multiply To One Number and Add Up To Another
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