What two numbers multiply to -138 and add up to 43?

Here we answer the question: "What two numbers multiply to -138 and add up to 43?"

The answer to your question is:

-3 and 46

Below we illustrate and prove that -3 and 46 multiply to -138 and add up to 43:

-3 × 46 = -138
-3 + 46 = 43

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

x² + 43x - 138 = 0

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

(x - 3 ) (x + 46)

To summarize, since -3 and 46 multiply to -138 and add up 43, you know that the following is true:

x² + 43x - 138 = (x - 3 ) (x + 46)

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.