What two numbers multiply to -106 and add up to 105?

Here we answer the question: "What two numbers multiply to -106 and add up to 105?"

The answer to your question is:

-1 and 106

Below we illustrate and prove that -1 and 106 multiply to -106 and add up to 105:

-1 × 106 = -106
-1 + 106 = 105

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

x² + 105x - 106 = 0

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

(x - 1 ) (x + 106)

To summarize, since -1 and 106 multiply to -106 and add up 105, you know that the following is true:

x² + 105x - 106 = (x - 1 ) (x + 106)

Multiply To One Number and Add Up To Another
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