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:

3 and 75

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

3 × 75 = 225
3 + 75 = 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 + 3 ) (x + 75)

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

x² + 78x + 225 = (x + 3 ) (x + 75)

Multiply To One Number and Add Up To Another
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