What two numbers multiply to -101 and add up to 100?

Here we answer the question: "What two numbers multiply to -101 and add up to 100?"

The answer to your question is:

-1 and 101

Below we illustrate and prove that -1 and 101 multiply to -101 and add up to 100:

-1 × 101 = -101
-1 + 101 = 100

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

x² + 100x - 101 = 0

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

(x - 1 ) (x + 101)

To summarize, since -1 and 101 multiply to -101 and add up 100, you know that the following is true:

x² + 100x - 101 = (x - 1 ) (x + 101)

Multiply To One Number and Add Up To Another
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