What two numbers multiply to -828 and add up to 412?

Here we answer the question: "What two numbers multiply to -828 and add up to 412?"

The answer to your question is:

-2 and 414

Below we illustrate and prove that -2 and 414 multiply to -828 and add up to 412:

-2 × 414 = -828
-2 + 414 = 412

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

x² + 412x - 828 = 0

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

(x - 2 ) (x + 414)

To summarize, since -2 and 414 multiply to -828 and add up 412, you know that the following is true:

x² + 412x - 828 = (x - 2 ) (x + 414)

Multiply To One Number and Add Up To Another
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