What two numbers multiply to 462 and add up to 43?

Here we answer the question: "What two numbers multiply to 462 and add up to 43?"

The answer to your question is:

21 and 22

Below we illustrate and prove that 21 and 22 multiply to 462 and add up to 43:

21 × 22 = 462
21 + 22 = 43

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

x² + 43x + 462 = 0

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

(x + 21 ) (x + 22)

To summarize, since 21 and 22 multiply to 462 and add up 43, you know that the following is true:

x² + 43x + 462 = (x + 21 ) (x + 22)

Multiply To One Number and Add Up To Another
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