What two numbers multiply to -412 and add up to 99?

Here we answer the question: "What two numbers multiply to -412 and add up to 99?"

The answer to your question is:

-4 and 103

Below we illustrate and prove that -4 and 103 multiply to -412 and add up to 99:

-4 × 103 = -412
-4 + 103 = 99

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

x² + 99x - 412 = 0

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

(x - 4 ) (x + 103)

To summarize, since -4 and 103 multiply to -412 and add up 99, you know that the following is true:

x² + 99x - 412 = (x - 4 ) (x + 103)

Multiply To One Number and Add Up To Another
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