What two numbers multiply to 9 and add up to 10?

Here we answer the question: "What two numbers multiply to 9 and add up to 10?"

The answer to your question is:

1 and 9

Below we illustrate and prove that 1 and 9 multiply to 9 and add up to 10:

1 × 9 = 9
1 + 9 = 10

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

x² + 10x + 9 = 0

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

(x + 1 ) (x + 9)

To summarize, since 1 and 9 multiply to 9 and add up 10, you know that the following is true:

x² + 10x + 9 = (x + 1 ) (x + 9)

Multiply To One Number and Add Up To Another
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