What two numbers multiply to 420 and add up to 41?

Here we answer the question: "What two numbers multiply to 420 and add up to 41?"

The answer to your question is:

20 and 21

Below we illustrate and prove that 20 and 21 multiply to 420 and add up to 41:

20 × 21 = 420
20 + 21 = 41

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

x² + 41x + 420 = 0

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

(x + 20 ) (x + 21)

To summarize, since 20 and 21 multiply to 420 and add up 41, you know that the following is true:

x² + 41x + 420 = (x + 20 ) (x + 21)

Multiply To One Number and Add Up To Another
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