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:

2 and 212

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

2 × 212 = 424
2 + 212 = 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 + 2 ) (x + 212)

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

x² + 214x + 424 = (x + 2 ) (x + 212)

Multiply To One Number and Add Up To Another
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