What two numbers multiply to 216 and add up to -75?

Here we answer the question: "What two numbers multiply to 216 and add up to -75?"

The answer to your question is:

-72 and -3

Below we illustrate and prove that -72 and -3 multiply to 216 and add up to -75:

-72 × -3 = 216
-72 + -3 = -75

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

x² - 75x + 216 = 0

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

(x - 72 ) (x - 3)

To summarize, since -72 and -3 multiply to 216 and add up -75, you know that the following is true:

x² - 75x + 216 = (x - 72 ) (x - 3)

Multiply To One Number and Add Up To Another
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