What two numbers multiply to -287 and add up to 34?

Here we answer the question: "What two numbers multiply to -287 and add up to 34?"

The answer to your question is:

-7 and 41

Below we illustrate and prove that -7 and 41 multiply to -287 and add up to 34:

-7 × 41 = -287
-7 + 41 = 34

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

x² + 34x - 287 = 0

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

(x - 7 ) (x + 41)

To summarize, since -7 and 41 multiply to -287 and add up 34, you know that the following is true:

x² + 34x - 287 = (x - 7 ) (x + 41)

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.