What two numbers multiply to -74 and add up to -35?

Here we answer the question: "What two numbers multiply to -74 and add up to -35?"

The answer to your question is:

-37 and 2

Below we illustrate and prove that -37 and 2 multiply to -74 and add up to -35:

-37 × 2 = -74
-37 + 2 = -35

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

x² - 35x - 74 = 0

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

(x - 37 ) (x + 2)

To summarize, since -37 and 2 multiply to -74 and add up -35, you know that the following is true:

x² - 35x - 74 = (x - 37 ) (x + 2)

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.