What two numbers multiply to 16 and add up to 17?

Here we answer the question: "What two numbers multiply to 16 and add up to 17?"

The answer to your question is:

1 and 16

Below we illustrate and prove that 1 and 16 multiply to 16 and add up to 17:

1 × 16 = 16
1 + 16 = 17

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

x² + 17x + 16 = 0

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

(x + 1 ) (x + 16)

To summarize, since 1 and 16 multiply to 16 and add up 17, you know that the following is true:

x² + 17x + 16 = (x + 1 ) (x + 16)

Multiply To One Number and Add Up To Another
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