What two numbers multiply to 972 and add up to 72?

Here we answer the question: "What two numbers multiply to 972 and add up to 72?"

The answer to your question is:

18 and 54

Below we illustrate and prove that 18 and 54 multiply to 972 and add up to 72:

18 × 54 = 972
18 + 54 = 72

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

x² + 72x + 972 = 0

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

(x + 18 ) (x + 54)

To summarize, since 18 and 54 multiply to 972 and add up 72, you know that the following is true:

x² + 72x + 972 = (x + 18 ) (x + 54)

Multiply To One Number and Add Up To Another
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