What two numbers multiply to -578 and add up to 17?

Here we answer the question: "What two numbers multiply to -578 and add up to 17?"

The answer to your question is:

-17 and 34

Below we illustrate and prove that -17 and 34 multiply to -578 and add up to 17:

-17 × 34 = -578
-17 + 34 = 17

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

x² + 17x - 578 = 0

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

(x - 17 ) (x + 34)

To summarize, since -17 and 34 multiply to -578 and add up 17, you know that the following is true:

x² + 17x - 578 = (x - 17 ) (x + 34)

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.