What two numbers multiply to -565 and add up to 108?

Here we answer the question: "What two numbers multiply to -565 and add up to 108?"

The answer to your question is:

-5 and 113

Below we illustrate and prove that -5 and 113 multiply to -565 and add up to 108:

-5 × 113 = -565
-5 + 113 = 108

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

x² + 108x - 565 = 0

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

(x - 5 ) (x + 113)

To summarize, since -5 and 113 multiply to -565 and add up 108, you know that the following is true:

x² + 108x - 565 = (x - 5 ) (x + 113)

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.