What two numbers multiply to -380 and add up to 71?

Here we answer the question: "What two numbers multiply to -380 and add up to 71?"

The answer to your question is:

-5 and 76

Below we illustrate and prove that -5 and 76 multiply to -380 and add up to 71:

-5 × 76 = -380
-5 + 76 = 71

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

x² + 71x - 380 = 0

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

(x - 5 ) (x + 76)

To summarize, since -5 and 76 multiply to -380 and add up 71, you know that the following is true:

x² + 71x - 380 = (x - 5 ) (x + 76)

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.