What two numbers multiply to -840 and add up to 74?

Here we answer the question: "What two numbers multiply to -840 and add up to 74?"

The answer to your question is:

-10 and 84

Below we illustrate and prove that -10 and 84 multiply to -840 and add up to 74:

-10 × 84 = -840
-10 + 84 = 74

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

x² + 74x - 840 = 0

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

(x - 10 ) (x + 84)

To summarize, since -10 and 84 multiply to -840 and add up 74, you know that the following is true:

x² + 74x - 840 = (x - 10 ) (x + 84)

Multiply To One Number and Add Up To Another
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