What two numbers multiply to -428 and add up to 212?

Here we answer the question: "What two numbers multiply to -428 and add up to 212?"

The answer to your question is:

-2 and 214

Below we illustrate and prove that -2 and 214 multiply to -428 and add up to 212:

-2 × 214 = -428
-2 + 214 = 212

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

x² + 212x - 428 = 0

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

(x - 2 ) (x + 214)

To summarize, since -2 and 214 multiply to -428 and add up 212, you know that the following is true:

x² + 212x - 428 = (x - 2 ) (x + 214)

Multiply To One Number and Add Up To Another
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