What two numbers multiply to 216 and add up to 75?

Here we answer the question: "What two numbers multiply to 216 and add up to 75?"

The answer to your question is:

3 and 72

Below we illustrate and prove that 3 and 72 multiply to 216 and add up to 75:

3 × 72 = 216
3 + 72 = 75

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

x² + 75x + 216 = 0

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

(x + 3 ) (x + 72)

To summarize, since 3 and 72 multiply to 216 and add up 75, you know that the following is true:

x² + 75x + 216 = (x + 3 ) (x + 72)

Multiply To One Number and Add Up To Another
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