What two numbers multiply to 574 and add up to 289?

Here we answer the question: "What two numbers multiply to 574 and add up to 289?"

The answer to your question is:

2 and 287

Below we illustrate and prove that 2 and 287 multiply to 574 and add up to 289:

2 × 287 = 574
2 + 287 = 289

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

x² + 289x + 574 = 0

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

(x + 2 ) (x + 287)

To summarize, since 2 and 287 multiply to 574 and add up 289, you know that the following is true:

x² + 289x + 574 = (x + 2 ) (x + 287)

Multiply To One Number and Add Up To Another
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