What two numbers multiply to -380 and add up to 28?

Here we answer the question: "What two numbers multiply to -380 and add up to 28?"

The answer to your question is:

-10 and 38

Below we illustrate and prove that -10 and 38 multiply to -380 and add up to 28:

-10 × 38 = -380
-10 + 38 = 28

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

x² + 28x - 380 = 0

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

(x - 10 ) (x + 38)

To summarize, since -10 and 38 multiply to -380 and add up 28, you know that the following is true:

x² + 28x - 380 = (x - 10 ) (x + 38)

Multiply To One Number and Add Up To Another
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