What two numbers multiply to 814 and add up to 409?

Here we answer the question: "What two numbers multiply to 814 and add up to 409?"

The answer to your question is:

2 and 407

Below we illustrate and prove that 2 and 407 multiply to 814 and add up to 409:

2 × 407 = 814
2 + 407 = 409

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

x² + 409x + 814 = 0

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

(x + 2 ) (x + 407)

To summarize, since 2 and 407 multiply to 814 and add up 409, you know that the following is true:

x² + 409x + 814 = (x + 2 ) (x + 407)

Multiply To One Number and Add Up To Another
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