What two numbers multiply to 309 and add up to 310?

Here we answer the question: "What two numbers multiply to 309 and add up to 310?"

The answer to your question is:

1 and 309

Below we illustrate and prove that 1 and 309 multiply to 309 and add up to 310:

1 × 309 = 309
1 + 309 = 310

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

x² + 310x + 309 = 0

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

(x + 1 ) (x + 309)

To summarize, since 1 and 309 multiply to 309 and add up 310, you know that the following is true:

x² + 310x + 309 = (x + 1 ) (x + 309)

Multiply To One Number and Add Up To Another
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