What two numbers multiply to -54 and add up to 53?

Here we answer the question: "What two numbers multiply to -54 and add up to 53?"

The answer to your question is:

-1 and 54

Below we illustrate and prove that -1 and 54 multiply to -54 and add up to 53:

-1 × 54 = -54
-1 + 54 = 53

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

x² + 53x - 54 = 0

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

(x - 1 ) (x + 54)

To summarize, since -1 and 54 multiply to -54 and add up 53, you know that the following is true:

x² + 53x - 54 = (x - 1 ) (x + 54)

Multiply To One Number and Add Up To Another
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