What two numbers multiply to -102 and add up to 101?

Here we answer the question: "What two numbers multiply to -102 and add up to 101?"

The answer to your question is:

-1 and 102

Below we illustrate and prove that -1 and 102 multiply to -102 and add up to 101:

-1 × 102 = -102
-1 + 102 = 101

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

x² + 101x - 102 = 0

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

(x - 1 ) (x + 102)

To summarize, since -1 and 102 multiply to -102 and add up 101, you know that the following is true:

x² + 101x - 102 = (x - 1 ) (x + 102)

Multiply To One Number and Add Up To Another
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