What two numbers multiply to 456 and add up to 82?

Here we answer the question: "What two numbers multiply to 456 and add up to 82?"

The answer to your question is:

6 and 76

Below we illustrate and prove that 6 and 76 multiply to 456 and add up to 82:

6 × 76 = 456
6 + 76 = 82

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

x² + 82x + 456 = 0

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

(x + 6 ) (x + 76)

To summarize, since 6 and 76 multiply to 456 and add up 82, you know that the following is true:

x² + 82x + 456 = (x + 6 ) (x + 76)

Multiply To One Number and Add Up To Another
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