What two numbers multiply to 208 and add up to 209?

Here we answer the question: "What two numbers multiply to 208 and add up to 209?"

The answer to your question is:

1 and 208

Below we illustrate and prove that 1 and 208 multiply to 208 and add up to 209:

1 × 208 = 208
1 + 208 = 209

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

x² + 209x + 208 = 0

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

(x + 1 ) (x + 208)

To summarize, since 1 and 208 multiply to 208 and add up 209, you know that the following is true:

x² + 209x + 208 = (x + 1 ) (x + 208)

Multiply To One Number and Add Up To Another
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