What two numbers multiply to -217 and add up to 216?

Here we answer the question: "What two numbers multiply to -217 and add up to 216?"

The answer to your question is:

-1 and 217

Below we illustrate and prove that -1 and 217 multiply to -217 and add up to 216:

-1 × 217 = -217
-1 + 217 = 216

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

x² + 216x - 217 = 0

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

(x - 1 ) (x + 217)

To summarize, since -1 and 217 multiply to -217 and add up 216, you know that the following is true:

x² + 216x - 217 = (x - 1 ) (x + 217)

Multiply To One Number and Add Up To Another
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