What two numbers multiply to 784 and add up to 56?

Here we answer the question: "What two numbers multiply to 784 and add up to 56?"

The answer to your question is:

28 and 28

Below we illustrate and prove that 28 and 28 multiply to 784 and add up to 56:

28 × 28 = 784
28 + 28 = 56

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

x² + 56x + 784 = 0

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

(x + 28 ) (x + 28)

To summarize, since 28 and 28 multiply to 784 and add up 56, you know that the following is true:

x² + 56x + 784 = (x + 28 ) (x + 28)

Multiply To One Number and Add Up To Another
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