What two numbers multiply to 412 and add up to 208?

Here we answer the question: "What two numbers multiply to 412 and add up to 208?"

The answer to your question is:

2 and 206

Below we illustrate and prove that 2 and 206 multiply to 412 and add up to 208:

2 × 206 = 412
2 + 206 = 208

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

x² + 208x + 412 = 0

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

(x + 2 ) (x + 206)

To summarize, since 2 and 206 multiply to 412 and add up 208, you know that the following is true:

x² + 208x + 412 = (x + 2 ) (x + 206)

Multiply To One Number and Add Up To Another
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