What two numbers multiply to 538 and add up to 271?

Here we answer the question: "What two numbers multiply to 538 and add up to 271?"

The answer to your question is:

2 and 269

Below we illustrate and prove that 2 and 269 multiply to 538 and add up to 271:

2 × 269 = 538
2 + 269 = 271

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

x² + 271x + 538 = 0

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

(x + 2 ) (x + 269)

To summarize, since 2 and 269 multiply to 538 and add up 271, you know that the following is true:

x² + 271x + 538 = (x + 2 ) (x + 269)

Multiply To One Number and Add Up To Another
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