What two numbers multiply to 676 and add up to 52?

Here we answer the question: "What two numbers multiply to 676 and add up to 52?"

The answer to your question is:

26 and 26

Below we illustrate and prove that 26 and 26 multiply to 676 and add up to 52:

26 × 26 = 676
26 + 26 = 52

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

x² + 52x + 676 = 0

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

(x + 26 ) (x + 26)

To summarize, since 26 and 26 multiply to 676 and add up 52, you know that the following is true:

x² + 52x + 676 = (x + 26 ) (x + 26)

Multiply To One Number and Add Up To Another
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