What two numbers multiply to 288 and add up to -36?

Here we answer the question: "What two numbers multiply to 288 and add up to -36?"

The answer to your question is:

-24 and -12

Below we illustrate and prove that -24 and -12 multiply to 288 and add up to -36:

-24 × -12 = 288
-24 + -12 = -36

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

x² - 36x + 288 = 0

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

(x - 24 ) (x - 12)

To summarize, since -24 and -12 multiply to 288 and add up -36, you know that the following is true:

x² - 36x + 288 = (x - 24 ) (x - 12)

Multiply To One Number and Add Up To Another
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