What two numbers multiply to 78 and add up to 19?

Here we answer the question: "What two numbers multiply to 78 and add up to 19?"

The answer to your question is:

6 and 13

Below we illustrate and prove that 6 and 13 multiply to 78 and add up to 19:

6 × 13 = 78
6 + 13 = 19

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

x² + 19x + 78 = 0

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

(x + 6 ) (x + 13)

To summarize, since 6 and 13 multiply to 78 and add up 19, you know that the following is true:

x² + 19x + 78 = (x + 6 ) (x + 13)

Multiply To One Number and Add Up To Another
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