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

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

The answer to your question is:

-1 and 53

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

-1 × 53 = -53
-1 + 53 = 52

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

x² + 52x - 53 = 0

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

(x - 1 ) (x + 53)

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

x² + 52x - 53 = (x - 1 ) (x + 53)

Multiply To One Number and Add Up To Another
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