What two numbers multiply to -749 and add up to 100?

Here we answer the question: "What two numbers multiply to -749 and add up to 100?"

The answer to your question is:

-7 and 107

Below we illustrate and prove that -7 and 107 multiply to -749 and add up to 100:

-7 × 107 = -749
-7 + 107 = 100

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

x² + 100x - 749 = 0

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

(x - 7 ) (x + 107)

To summarize, since -7 and 107 multiply to -749 and add up 100, you know that the following is true:

x² + 100x - 749 = (x - 7 ) (x + 107)

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.