What two numbers multiply to -824 and add up to 410?

Here we answer the question: "What two numbers multiply to -824 and add up to 410?"

The answer to your question is:

-2 and 412

Below we illustrate and prove that -2 and 412 multiply to -824 and add up to 410:

-2 × 412 = -824
-2 + 412 = 410

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

x² + 410x - 824 = 0

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

(x - 2 ) (x + 412)

To summarize, since -2 and 412 multiply to -824 and add up 410, you know that the following is true:

x² + 410x - 824 = (x - 2 ) (x + 412)

Multiply To One Number and Add Up To Another
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