What two numbers multiply to -840 and add up to 97?

Here we answer the question: "What two numbers multiply to -840 and add up to 97?"

The answer to your question is:

-8 and 105

Below we illustrate and prove that -8 and 105 multiply to -840 and add up to 97:

-8 × 105 = -840
-8 + 105 = 97

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

x² + 97x - 840 = 0

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

(x - 8 ) (x + 105)

To summarize, since -8 and 105 multiply to -840 and add up 97, you know that the following is true:

x² + 97x - 840 = (x - 8 ) (x + 105)

Multiply To One Number and Add Up To Another
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