What two numbers multiply to -78 and add up to 23?

Here we answer the question: "What two numbers multiply to -78 and add up to 23?"

The answer to your question is:

-3 and 26

Below we illustrate and prove that -3 and 26 multiply to -78 and add up to 23:

-3 × 26 = -78
-3 + 26 = 23

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

x² + 23x - 78 = 0

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

(x - 3 ) (x + 26)

To summarize, since -3 and 26 multiply to -78 and add up 23, you know that the following is true:

x² + 23x - 78 = (x - 3 ) (x + 26)

Multiply To One Number and Add Up To Another
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