What two numbers multiply to -840 and add up to 11?

Here we answer the question: "What two numbers multiply to -840 and add up to 11?"

The answer to your question is:

-24 and 35

Below we illustrate and prove that -24 and 35 multiply to -840 and add up to 11:

-24 × 35 = -840
-24 + 35 = 11

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

x² + 11x - 840 = 0

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

(x - 24 ) (x + 35)

To summarize, since -24 and 35 multiply to -840 and add up 11, you know that the following is true:

x² + 11x - 840 = (x - 24 ) (x + 35)

Multiply To One Number and Add Up To Another
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