What two numbers multiply to -72 and add up to 71?

Here we answer the question: "What two numbers multiply to -72 and add up to 71?"

The answer to your question is:

-1 and 72

Below we illustrate and prove that -1 and 72 multiply to -72 and add up to 71:

-1 × 72 = -72
-1 + 72 = 71

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

x² + 71x - 72 = 0

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

(x - 1 ) (x + 72)

To summarize, since -1 and 72 multiply to -72 and add up 71, you know that the following is true:

x² + 71x - 72 = (x - 1 ) (x + 72)

Multiply To One Number and Add Up To Another
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