What two numbers multiply to 52 and add up to -53?

Here we answer the question: "What two numbers multiply to 52 and add up to -53?"

The answer to your question is:

-52 and -1

Below we illustrate and prove that -52 and -1 multiply to 52 and add up to -53:

-52 × -1 = 52
-52 + -1 = -53

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

x² - 53x + 52 = 0

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

(x - 52 ) (x - 1)

To summarize, since -52 and -1 multiply to 52 and add up -53, you know that the following is true:

x² - 53x + 52 = (x - 52 ) (x - 1)

Multiply To One Number and Add Up To Another
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