What two numbers multiply to -105 and add up to -16?

Here we answer the question: "What two numbers multiply to -105 and add up to -16?"

The answer to your question is:

-21 and 5

Below we illustrate and prove that -21 and 5 multiply to -105 and add up to -16:

-21 × 5 = -105
-21 + 5 = -16

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

x² - 16x - 105 = 0

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

(x - 21 ) (x + 5)

To summarize, since -21 and 5 multiply to -105 and add up -16, you know that the following is true:

x² - 16x - 105 = (x - 21 ) (x + 5)

Multiply To One Number and Add Up To Another
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