What two numbers multiply to 289 and add up to 290?

Here we answer the question: "What two numbers multiply to 289 and add up to 290?"

The answer to your question is:

1 and 289

Below we illustrate and prove that 1 and 289 multiply to 289 and add up to 290:

1 × 289 = 289
1 + 289 = 290

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

x² + 290x + 289 = 0

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

(x + 1 ) (x + 289)

To summarize, since 1 and 289 multiply to 289 and add up 290, you know that the following is true:

x² + 290x + 289 = (x + 1 ) (x + 289)

Multiply To One Number and Add Up To Another
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