What two numbers multiply to 972 and add up to 117?

Here we answer the question: "What two numbers multiply to 972 and add up to 117?"

The answer to your question is:

9 and 108

Below we illustrate and prove that 9 and 108 multiply to 972 and add up to 117:

9 × 108 = 972
9 + 108 = 117

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

x² + 117x + 972 = 0

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

(x + 9 ) (x + 108)

To summarize, since 9 and 108 multiply to 972 and add up 117, you know that the following is true:

x² + 117x + 972 = (x + 9 ) (x + 108)

Multiply To One Number and Add Up To Another
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