What two numbers multiply to -105 and add up to 8?

Here we answer the question: "What two numbers multiply to -105 and add up to 8?"

The answer to your question is:

-7 and 15

Below we illustrate and prove that -7 and 15 multiply to -105 and add up to 8:

-7 × 15 = -105
-7 + 15 = 8

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

x² + 8x - 105 = 0

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

(x - 7 ) (x + 15)

To summarize, since -7 and 15 multiply to -105 and add up 8, you know that the following is true:

x² + 8x - 105 = (x - 7 ) (x + 15)

Multiply To One Number and Add Up To Another
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