What two numbers multiply to 675 and add up to -84?

Here we answer the question: "What two numbers multiply to 675 and add up to -84?"

The answer to your question is:

-75 and -9

Below we illustrate and prove that -75 and -9 multiply to 675 and add up to -84:

-75 × -9 = 675
-75 + -9 = -84

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

x² - 84x + 675 = 0

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

(x - 75 ) (x - 9)

To summarize, since -75 and -9 multiply to 675 and add up -84, you know that the following is true:

x² - 84x + 675 = (x - 75 ) (x - 9)

Multiply To One Number and Add Up To Another
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