What two numbers multiply to -365 and add up to 364?

Here we answer the question: "What two numbers multiply to -365 and add up to 364?"

The answer to your question is:

-1 and 365

Below we illustrate and prove that -1 and 365 multiply to -365 and add up to 364:

-1 × 365 = -365
-1 + 365 = 364

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

x² + 364x - 365 = 0

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

(x - 1 ) (x + 365)

To summarize, since -1 and 365 multiply to -365 and add up 364, you know that the following is true:

x² + 364x - 365 = (x - 1 ) (x + 365)

Multiply To One Number and Add Up To Another
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