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

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

The answer to your question is:

1 and 100

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

1 × 100 = 100
1 + 100 = 101

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

x² + 101x + 100 = 0

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

(x + 1 ) (x + 100)

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

x² + 101x + 100 = (x + 1 ) (x + 100)

Multiply To One Number and Add Up To Another
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