What two numbers multiply to -105 and add up to 104?

Here we answer the question: "What two numbers multiply to -105 and add up to 104?"

The answer to your question is:

-1 and 105

Below we illustrate and prove that -1 and 105 multiply to -105 and add up to 104:

-1 × 105 = -105
-1 + 105 = 104

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

x² + 104x - 105 = 0

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

(x - 1 ) (x + 105)

To summarize, since -1 and 105 multiply to -105 and add up 104, you know that the following is true:

x² + 104x - 105 = (x - 1 ) (x + 105)

Multiply To One Number and Add Up To Another
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