What two numbers multiply to 225 and add up to -78?

Here we answer the question: "What two numbers multiply to 225 and add up to -78?"

The answer to your question is:

-75 and -3

Below we illustrate and prove that -75 and -3 multiply to 225 and add up to -78:

-75 × -3 = 225
-75 + -3 = -78

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

x² - 78x + 225 = 0

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

(x - 75 ) (x - 3)

To summarize, since -75 and -3 multiply to 225 and add up -78, you know that the following is true:

x² - 78x + 225 = (x - 75 ) (x - 3)

Multiply To One Number and Add Up To Another
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