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:

-7 and 82

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

-7 × 82 = -574
-7 + 82 = 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 - 7 ) (x + 82)

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

x² + 75x - 574 = (x - 7 ) (x + 82)

Multiply To One Number and Add Up To Another
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