What two numbers multiply to 288 and add up to -76?

Here we answer the question: "What two numbers multiply to 288 and add up to -76?"

The answer to your question is:

-72 and -4

Below we illustrate and prove that -72 and -4 multiply to 288 and add up to -76:

-72 × -4 = 288
-72 + -4 = -76

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

x² - 76x + 288 = 0

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

(x - 72 ) (x - 4)

To summarize, since -72 and -4 multiply to 288 and add up -76, you know that the following is true:

x² - 76x + 288 = (x - 72 ) (x - 4)

Multiply To One Number and Add Up To Another
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