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:

-3 and 75

Below we illustrate and prove that -3 and 75 multiply to -225 and add up to 72:

-3 × 75 = -225
-3 + 75 = 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 - 3 ) (x + 75)

To summarize, since -3 and 75 multiply to -225 and add up 72, you know that the following is true:

x² + 72x - 225 = (x - 3 ) (x + 75)

Multiply To One Number and Add Up To Another
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