What two numbers multiply to 819 and add up to 100?

Here we answer the question: "What two numbers multiply to 819 and add up to 100?"

The answer to your question is:

9 and 91

Below we illustrate and prove that 9 and 91 multiply to 819 and add up to 100:

9 × 91 = 819
9 + 91 = 100

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

x² + 100x + 819 = 0

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

(x + 9 ) (x + 91)

To summarize, since 9 and 91 multiply to 819 and add up 100, you know that the following is true:

x² + 100x + 819 = (x + 9 ) (x + 91)

Multiply To One Number and Add Up To Another
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