What two numbers multiply to 204 and add up to -71?

Here we answer the question: "What two numbers multiply to 204 and add up to -71?"

The answer to your question is:

-68 and -3

Below we illustrate and prove that -68 and -3 multiply to 204 and add up to -71:

-68 × -3 = 204
-68 + -3 = -71

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

x² - 71x + 204 = 0

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

(x - 68 ) (x - 3)

To summarize, since -68 and -3 multiply to 204 and add up -71, you know that the following is true:

x² - 71x + 204 = (x - 68 ) (x - 3)

Multiply To One Number and Add Up To Another
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