What two numbers multiply to 595 and add up to -52?

Here we answer the question: "What two numbers multiply to 595 and add up to -52?"

The answer to your question is:

-35 and -17

Below we illustrate and prove that -35 and -17 multiply to 595 and add up to -52:

-35 × -17 = 595
-35 + -17 = -52

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

x² - 52x + 595 = 0

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

(x - 35 ) (x - 17)

To summarize, since -35 and -17 multiply to 595 and add up -52, you know that the following is true:

x² - 52x + 595 = (x - 35 ) (x - 17)

Multiply To One Number and Add Up To Another
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