What two numbers multiply to 130 and add up to -31?

Here we answer the question: "What two numbers multiply to 130 and add up to -31?"

The answer to your question is:

-26 and -5

Below we illustrate and prove that -26 and -5 multiply to 130 and add up to -31:

-26 × -5 = 130
-26 + -5 = -31

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

x² - 31x + 130 = 0

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

(x - 26 ) (x - 5)

To summarize, since -26 and -5 multiply to 130 and add up -31, you know that the following is true:

x² - 31x + 130 = (x - 26 ) (x - 5)

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.