What two numbers multiply to 972 and add up to 63?

Here we answer the question: "What two numbers multiply to 972 and add up to 63?"

The answer to your question is:

27 and 36

Below we illustrate and prove that 27 and 36 multiply to 972 and add up to 63:

27 × 36 = 972
27 + 36 = 63

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

x² + 63x + 972 = 0

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

(x + 27 ) (x + 36)

To summarize, since 27 and 36 multiply to 972 and add up 63, you know that the following is true:

x² + 63x + 972 = (x + 27 ) (x + 36)

Multiply To One Number and Add Up To Another
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