What two numbers multiply to -840 and add up to 113?

Here we answer the question: "What two numbers multiply to -840 and add up to 113?"

The answer to your question is:

-7 and 120

Below we illustrate and prove that -7 and 120 multiply to -840 and add up to 113:

-7 × 120 = -840
-7 + 120 = 113

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

x² + 113x - 840 = 0

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

(x - 7 ) (x + 120)

To summarize, since -7 and 120 multiply to -840 and add up 113, you know that the following is true:

x² + 113x - 840 = (x - 7 ) (x + 120)

Multiply To One Number and Add Up To Another
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