What two numbers multiply to -300 and add up to -71?

Here we answer the question: "What two numbers multiply to -300 and add up to -71?"

The answer to your question is:

-75 and 4

Below we illustrate and prove that -75 and 4 multiply to -300 and add up to -71:

-75 × 4 = -300
-75 + 4 = -71

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

x² - 71x - 300 = 0

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

(x - 75 ) (x + 4)

To summarize, since -75 and 4 multiply to -300 and add up -71, you know that the following is true:

x² - 71x - 300 = (x - 75 ) (x + 4)

Multiply To One Number and Add Up To Another
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