What two numbers multiply to -78 and add up to 7?

Here we answer the question: "What two numbers multiply to -78 and add up to 7?"

The answer to your question is:

-6 and 13

Below we illustrate and prove that -6 and 13 multiply to -78 and add up to 7:

-6 × 13 = -78
-6 + 13 = 7

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

x² + 7x - 78 = 0

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

(x - 6 ) (x + 13)

To summarize, since -6 and 13 multiply to -78 and add up 7, you know that the following is true:

x² + 7x - 78 = (x - 6 ) (x + 13)

Multiply To One Number and Add Up To Another
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