What two numbers multiply to -828 and add up to 13?

Here we answer the question: "What two numbers multiply to -828 and add up to 13?"

The answer to your question is:

-23 and 36

Below we illustrate and prove that -23 and 36 multiply to -828 and add up to 13:

-23 × 36 = -828
-23 + 36 = 13

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

x² + 13x - 828 = 0

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

(x - 23 ) (x + 36)

To summarize, since -23 and 36 multiply to -828 and add up 13, you know that the following is true:

x² + 13x - 828 = (x - 23 ) (x + 36)

Multiply To One Number and Add Up To Another
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