What two numbers multiply to -76 and add up to 15?

Here we answer the question: "What two numbers multiply to -76 and add up to 15?"

The answer to your question is:

-4 and 19

Below we illustrate and prove that -4 and 19 multiply to -76 and add up to 15:

-4 × 19 = -76
-4 + 19 = 15

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

x² + 15x - 76 = 0

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

(x - 4 ) (x + 19)

To summarize, since -4 and 19 multiply to -76 and add up 15, you know that the following is true:

x² + 15x - 76 = (x - 4 ) (x + 19)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.