What two numbers multiply to 72 and add up to -38?

Here we answer the question: "What two numbers multiply to 72 and add up to -38?"

The answer to your question is:

-36 and -2

Below we illustrate and prove that -36 and -2 multiply to 72 and add up to -38:

-36 × -2 = 72
-36 + -2 = -38

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

x² - 38x + 72 = 0

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

(x - 36 ) (x - 2)

To summarize, since -36 and -2 multiply to 72 and add up -38, you know that the following is true:

x² - 38x + 72 = (x - 36 ) (x - 2)

Multiply To One Number and Add Up To Another
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