What two numbers multiply to 409 and add up to 410?

Here we answer the question: "What two numbers multiply to 409 and add up to 410?"

The answer to your question is:

1 and 409

Below we illustrate and prove that 1 and 409 multiply to 409 and add up to 410:

1 × 409 = 409
1 + 409 = 410

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

x² + 410x + 409 = 0

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

(x + 1 ) (x + 409)

To summarize, since 1 and 409 multiply to 409 and add up 410, you know that the following is true:

x² + 410x + 409 = (x + 1 ) (x + 409)

Multiply To One Number and Add Up To Another
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