What two numbers multiply to -300 and add up to 299?

Here we answer the question: "What two numbers multiply to -300 and add up to 299?"

The answer to your question is:

-1 and 300

Below we illustrate and prove that -1 and 300 multiply to -300 and add up to 299:

-1 × 300 = -300
-1 + 300 = 299

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

x² + 299x - 300 = 0

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

(x - 1 ) (x + 300)

To summarize, since -1 and 300 multiply to -300 and add up 299, you know that the following is true:

x² + 299x - 300 = (x - 1 ) (x + 300)

Multiply To One Number and Add Up To Another
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