What two numbers multiply to 923 and add up to 84?

Here we answer the question: "What two numbers multiply to 923 and add up to 84?"

The answer to your question is:

13 and 71

Below we illustrate and prove that 13 and 71 multiply to 923 and add up to 84:

13 × 71 = 923
13 + 71 = 84

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

x² + 84x + 923 = 0

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

(x + 13 ) (x + 71)

To summarize, since 13 and 71 multiply to 923 and add up 84, you know that the following is true:

x² + 84x + 923 = (x + 13 ) (x + 71)

Multiply To One Number and Add Up To Another
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