What two numbers multiply to -31 and add up to 30?

Here we answer the question: "What two numbers multiply to -31 and add up to 30?"

The answer to your question is:

-1 and 31

Below we illustrate and prove that -1 and 31 multiply to -31 and add up to 30:

-1 × 31 = -31
-1 + 31 = 30

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

x² + 30x - 31 = 0

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

(x - 1 ) (x + 31)

To summarize, since -1 and 31 multiply to -31 and add up 30, you know that the following is true:

x² + 30x - 31 = (x - 1 ) (x + 31)

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.