What two numbers multiply to 900 and add up to 100?

Here we answer the question: "What two numbers multiply to 900 and add up to 100?"

The answer to your question is:

10 and 90

Below we illustrate and prove that 10 and 90 multiply to 900 and add up to 100:

10 × 90 = 900
10 + 90 = 100

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

x² + 100x + 900 = 0

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

(x + 10 ) (x + 90)

To summarize, since 10 and 90 multiply to 900 and add up 100, you know that the following is true:

x² + 100x + 900 = (x + 10 ) (x + 90)

Multiply To One Number and Add Up To Another
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