What two numbers multiply to 424 and add up to -214?

Here we answer the question: "What two numbers multiply to 424 and add up to -214?"

The answer to your question is:

-212 and -2

Below we illustrate and prove that -212 and -2 multiply to 424 and add up to -214:

-212 × -2 = 424
-212 + -2 = -214

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

x² - 214x + 424 = 0

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

(x - 212 ) (x - 2)

To summarize, since -212 and -2 multiply to 424 and add up -214, you know that the following is true:

x² - 214x + 424 = (x - 212 ) (x - 2)

Multiply To One Number and Add Up To Another
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