What two numbers multiply to 312 and add up to 82?

Here we answer the question: "What two numbers multiply to 312 and add up to 82?"

The answer to your question is:

4 and 78

Below we illustrate and prove that 4 and 78 multiply to 312 and add up to 82:

4 × 78 = 312
4 + 78 = 82

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

x² + 82x + 312 = 0

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

(x + 4 ) (x + 78)

To summarize, since 4 and 78 multiply to 312 and add up 82, you know that the following is true:

x² + 82x + 312 = (x + 4 ) (x + 78)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.