What two numbers multiply to 428 and add up to -216?

Here we answer the question: "What two numbers multiply to 428 and add up to -216?"

The answer to your question is:

-214 and -2

Below we illustrate and prove that -214 and -2 multiply to 428 and add up to -216:

-214 × -2 = 428
-214 + -2 = -216

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

x² - 216x + 428 = 0

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

(x - 214 ) (x - 2)

To summarize, since -214 and -2 multiply to 428 and add up -216, you know that the following is true:

x² - 216x + 428 = (x - 214 ) (x - 2)

Multiply To One Number and Add Up To Another
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