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:

-5 and 21


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

-5 × 21 = -105
-5 + 21 = 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 - 5 ) (x + 21)

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

x2 + 16x - 105 = (x - 5 ) (x + 21)


Multiply To One Number and Add Up To Another
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