What two numbers multiply to -838 and add up to 417?

Here we answer the question: "What two numbers multiply to -838 and add up to 417?"

The answer to your question is:

-2 and 419

Below we illustrate and prove that -2 and 419 multiply to -838 and add up to 417:

-2 × 419 = -838
-2 + 419 = 417

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

x² + 417x - 838 = 0

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

(x - 2 ) (x + 419)

To summarize, since -2 and 419 multiply to -838 and add up 417, you know that the following is true:

x² + 417x - 838 = (x - 2 ) (x + 419)

Multiply To One Number and Add Up To Another
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