What two numbers multiply to 343 and add up to 56?

Here we answer the question: "What two numbers multiply to 343 and add up to 56?"

The answer to your question is:

7 and 49

Below we illustrate and prove that 7 and 49 multiply to 343 and add up to 56:

7 × 49 = 343
7 + 49 = 56

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

x² + 56x + 343 = 0

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

(x + 7 ) (x + 49)

To summarize, since 7 and 49 multiply to 343 and add up 56, you know that the following is true:

x² + 56x + 343 = (x + 7 ) (x + 49)

Multiply To One Number and Add Up To Another
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