What two numbers multiply to -750 and add up to 65?

Here we answer the question: "What two numbers multiply to -750 and add up to 65?"

The answer to your question is:

-10 and 75

Below we illustrate and prove that -10 and 75 multiply to -750 and add up to 65:

-10 × 75 = -750
-10 + 75 = 65

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

x² + 65x - 750 = 0

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

(x - 10 ) (x + 75)

To summarize, since -10 and 75 multiply to -750 and add up 65, you know that the following is true:

x² + 65x - 750 = (x - 10 ) (x + 75)

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.