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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