What two numbers multiply to -574 and add up to -75?

Here we answer the question: "What two numbers multiply to -574 and add up to -75?"

The answer to your question is:

-82 and 7

Below we illustrate and prove that -82 and 7 multiply to -574 and add up to -75:

-82 × 7 = -574
-82 + 7 = -75

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

x² - 75x - 574 = 0

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

(x - 82 ) (x + 7)

To summarize, since -82 and 7 multiply to -574 and add up -75, you know that the following is true:

x² - 75x - 574 = (x - 82 ) (x + 7)

Multiply To One Number and Add Up To Another
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