What two numbers multiply to -225 and add up to -72?

Here we answer the question: "What two numbers multiply to -225 and add up to -72?"

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 -72:

-75 × 3 = -225
-75 + 3 = -72

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

x² - 72x - 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 -72, you know that the following is true:

x² - 72x - 225 = (x - 75 ) (x + 3)

Multiply To One Number and Add Up To Another
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