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:

-26 and 3

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

-26 × 3 = -78
-26 + 3 = -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 - 26 ) (x + 3)

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

x² - 23x - 78 = (x - 26 ) (x + 3)

Multiply To One Number and Add Up To Another
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