What two numbers multiply to 462 and add up to 83?

Here we answer the question: "What two numbers multiply to 462 and add up to 83?"

The answer to your question is:

6 and 77

Below we illustrate and prove that 6 and 77 multiply to 462 and add up to 83:

6 × 77 = 462
6 + 77 = 83

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

x² + 83x + 462 = 0

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

(x + 6 ) (x + 77)

To summarize, since 6 and 77 multiply to 462 and add up 83, you know that the following is true:

x² + 83x + 462 = (x + 6 ) (x + 77)

Multiply To One Number and Add Up To Another
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