What two numbers multiply to 52 and add up to -28?

Here we answer the question: "What two numbers multiply to 52 and add up to -28?"

The answer to your question is:

-26 and -2

Below we illustrate and prove that -26 and -2 multiply to 52 and add up to -28:

-26 × -2 = 52
-26 + -2 = -28

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

x² - 28x + 52 = 0

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

(x - 26 ) (x - 2)

To summarize, since -26 and -2 multiply to 52 and add up -28, you know that the following is true:

x² - 28x + 52 = (x - 26 ) (x - 2)

Multiply To One Number and Add Up To Another
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