What two numbers multiply to -258 and add up to 257?

Here we answer the question: "What two numbers multiply to -258 and add up to 257?"

The answer to your question is:

-1 and 258

Below we illustrate and prove that -1 and 258 multiply to -258 and add up to 257:

-1 × 258 = -258
-1 + 258 = 257

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

x² + 257x - 258 = 0

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

(x - 1 ) (x + 258)

To summarize, since -1 and 258 multiply to -258 and add up 257, you know that the following is true:

x² + 257x - 258 = (x - 1 ) (x + 258)

Multiply To One Number and Add Up To Another
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