What two numbers multiply to 100 and add up to 20?

Here we answer the question: "What two numbers multiply to 100 and add up to 20?"

The answer to your question is:

10 and 10

Below we illustrate and prove that 10 and 10 multiply to 100 and add up to 20:

10 × 10 = 100
10 + 10 = 20

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

x² + 20x + 100 = 0

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

(x + 10 ) (x + 10)

To summarize, since 10 and 10 multiply to 100 and add up 20, you know that the following is true:

x² + 20x + 100 = (x + 10 ) (x + 10)

Multiply To One Number and Add Up To Another
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