What two numbers multiply to 576 and add up to 80?

Here we answer the question: "What two numbers multiply to 576 and add up to 80?"

The answer to your question is:

8 and 72

Below we illustrate and prove that 8 and 72 multiply to 576 and add up to 80:

8 × 72 = 576
8 + 72 = 80

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

x² + 80x + 576 = 0

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

(x + 8 ) (x + 72)

To summarize, since 8 and 72 multiply to 576 and add up 80, you know that the following is true:

x² + 80x + 576 = (x + 8 ) (x + 72)

Multiply To One Number and Add Up To Another
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