Here we answer the question: "What two numbers multiply to -101 and add up to -100?"
The answer to your question is:
-101 and 1
Below we illustrate and prove that -101 and 1 multiply to -101 and add up to -100:
-101 × 1 = -101
-101 + 1 = -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 - 101 ) (x + 1)
To summarize, since -101 and 1 multiply to -101 and add up -100, you know that the following is true:
x2 - 100x - 101 = (x - 101 ) (x + 1)
Multiply To One Number and Add Up To Another
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