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:

12 and 24

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

12 × 24 = 288
12 + 24 = 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 + 12 ) (x + 24)

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

x² + 36x + 288 = (x + 12 ) (x + 24)

Multiply To One Number and Add Up To Another
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