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:

4 and 72

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

4 × 72 = 288
4 + 72 = 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 + 4 ) (x + 72)

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

x² + 76x + 288 = (x + 4 ) (x + 72)

Multiply To One Number and Add Up To Another
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