What two numbers multiply to 390 and add up to 83?

Here we answer the question: "What two numbers multiply to 390 and add up to 83?"

The answer to your question is:

5 and 78

Below we illustrate and prove that 5 and 78 multiply to 390 and add up to 83:

5 × 78 = 390
5 + 78 = 83

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

x² + 83x + 390 = 0

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

(x + 5 ) (x + 78)

To summarize, since 5 and 78 multiply to 390 and add up 83, you know that the following is true:

x² + 83x + 390 = (x + 5 ) (x + 78)

Multiply To One Number and Add Up To Another
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