What two numbers multiply to 400 and add up to 401?

Here we answer the question: "What two numbers multiply to 400 and add up to 401?"

The answer to your question is:

1 and 400

Below we illustrate and prove that 1 and 400 multiply to 400 and add up to 401:

1 × 400 = 400
1 + 400 = 401

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

x² + 401x + 400 = 0

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

(x + 1 ) (x + 400)

To summarize, since 1 and 400 multiply to 400 and add up 401, you know that the following is true:

x² + 401x + 400 = (x + 1 ) (x + 400)

Multiply To One Number and Add Up To Another
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