What two numbers multiply to -400 and add up to -96?

Here we answer the question: "What two numbers multiply to -400 and add up to -96?"

The answer to your question is:

-100 and 4

Below we illustrate and prove that -100 and 4 multiply to -400 and add up to -96:

-100 × 4 = -400
-100 + 4 = -96

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

x² - 96x - 400 = 0

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

(x - 100 ) (x + 4)

To summarize, since -100 and 4 multiply to -400 and add up -96, you know that the following is true:

x² - 96x - 400 = (x - 100 ) (x + 4)

Multiply To One Number and Add Up To Another
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