What two numbers multiply to 576 and add up to 52?

Here we answer the question: "What two numbers multiply to 576 and add up to 52?"

The answer to your question is:

16 and 36

Below we illustrate and prove that 16 and 36 multiply to 576 and add up to 52:

16 × 36 = 576
16 + 36 = 52

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

x² + 52x + 576 = 0

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

(x + 16 ) (x + 36)

To summarize, since 16 and 36 multiply to 576 and add up 52, you know that the following is true:

x² + 52x + 576 = (x + 16 ) (x + 36)

Multiply To One Number and Add Up To Another
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