What two numbers multiply to -410 and add up to 409?

Here we answer the question: "What two numbers multiply to -410 and add up to 409?"

The answer to your question is:

-1 and 410

Below we illustrate and prove that -1 and 410 multiply to -410 and add up to 409:

-1 × 410 = -410
-1 + 410 = 409

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

x² + 409x - 410 = 0

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

(x - 1 ) (x + 410)

To summarize, since -1 and 410 multiply to -410 and add up 409, you know that the following is true:

x² + 409x - 410 = (x - 1 ) (x + 410)

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.