What two numbers multiply to 408 and add up to 409?

Here we answer the question: "What two numbers multiply to 408 and add up to 409?"

The answer to your question is:

1 and 408

Below we illustrate and prove that 1 and 408 multiply to 408 and add up to 409:

1 × 408 = 408
1 + 408 = 409

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

x² + 409x + 408 = 0

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

(x + 1 ) (x + 408)

To summarize, since 1 and 408 multiply to 408 and add up 409, you know that the following is true:

x² + 409x + 408 = (x + 1 ) (x + 408)

Multiply To One Number and Add Up To Another
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