What two numbers multiply to -575 and add up to 574?

Here we answer the question: "What two numbers multiply to -575 and add up to 574?"

The answer to your question is:

-1 and 575

Below we illustrate and prove that -1 and 575 multiply to -575 and add up to 574:

-1 × 575 = -575
-1 + 575 = 574

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

x² + 574x - 575 = 0

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

(x - 1 ) (x + 575)

To summarize, since -1 and 575 multiply to -575 and add up 574, you know that the following is true:

x² + 574x - 575 = (x - 1 ) (x + 575)

Multiply To One Number and Add Up To Another
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