What two numbers multiply to -78 and add up to 37?

Here we answer the question: "What two numbers multiply to -78 and add up to 37?"

The answer to your question is:

-2 and 39

Below we illustrate and prove that -2 and 39 multiply to -78 and add up to 37:

-2 × 39 = -78
-2 + 39 = 37

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

x² + 37x - 78 = 0

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

(x - 2 ) (x + 39)

To summarize, since -2 and 39 multiply to -78 and add up 37, you know that the following is true:

x² + 37x - 78 = (x - 2 ) (x + 39)

Multiply To One Number and Add Up To Another
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