What two numbers multiply to 40 and add up to 41?

Here we answer the question: "What two numbers multiply to 40 and add up to 41?"

The answer to your question is:

1 and 40

Below we illustrate and prove that 1 and 40 multiply to 40 and add up to 41:

1 × 40 = 40
1 + 40 = 41

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

x² + 41x + 40 = 0

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

(x + 1 ) (x + 40)

To summarize, since 1 and 40 multiply to 40 and add up 41, you know that the following is true:

x² + 41x + 40 = (x + 1 ) (x + 40)

Multiply To One Number and Add Up To Another
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