What two numbers multiply to -216 and add up to 69?

Here we answer the question: "What two numbers multiply to -216 and add up to 69?"

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 69:

-3 × 72 = -216
-3 + 72 = 69

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

x² + 69x - 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 69, you know that the following is true:

x² + 69x - 216 = (x - 3 ) (x + 72)

Multiply To One Number and Add Up To Another
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