What two numbers multiply to 296 and add up to 78?

Here we answer the question: "What two numbers multiply to 296 and add up to 78?"

The answer to your question is:

4 and 74

Below we illustrate and prove that 4 and 74 multiply to 296 and add up to 78:

4 × 74 = 296
4 + 74 = 78

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

x² + 78x + 296 = 0

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

(x + 4 ) (x + 74)

To summarize, since 4 and 74 multiply to 296 and add up 78, you know that the following is true:

x² + 78x + 296 = (x + 4 ) (x + 74)

Multiply To One Number and Add Up To Another
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