What two numbers multiply to 675 and add up to -60?

Here we answer the question: "What two numbers multiply to 675 and add up to -60?"

The answer to your question is:

-45 and -15

Below we illustrate and prove that -45 and -15 multiply to 675 and add up to -60:

-45 × -15 = 675
-45 + -15 = -60

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

x² - 60x + 675 = 0

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

(x - 45 ) (x - 15)

To summarize, since -45 and -15 multiply to 675 and add up -60, you know that the following is true:

x² - 60x + 675 = (x - 45 ) (x - 15)

Multiply To One Number and Add Up To Another
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