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:

-4 and 75

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

-4 × 75 = -300
-4 + 75 = 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 - 4 ) (x + 75)

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

x² + 71x - 300 = (x - 4 ) (x + 75)

Multiply To One Number and Add Up To Another
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