What two numbers multiply to -214 and add up to 213?

Here we answer the question: "What two numbers multiply to -214 and add up to 213?"

The answer to your question is:

-1 and 214

Below we illustrate and prove that -1 and 214 multiply to -214 and add up to 213:

-1 × 214 = -214
-1 + 214 = 213

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

x² + 213x - 214 = 0

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

(x - 1 ) (x + 214)

To summarize, since -1 and 214 multiply to -214 and add up 213, you know that the following is true:

x² + 213x - 214 = (x - 1 ) (x + 214)

Multiply To One Number and Add Up To Another
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