What two numbers multiply to 280 and add up to -38?

Here we answer the question: "What two numbers multiply to 280 and add up to -38?"

The answer to your question is:

-28 and -10

Below we illustrate and prove that -28 and -10 multiply to 280 and add up to -38:

-28 × -10 = 280
-28 + -10 = -38

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

x² - 38x + 280 = 0

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

(x - 28 ) (x - 10)

To summarize, since -28 and -10 multiply to 280 and add up -38, you know that the following is true:

x² - 38x + 280 = (x - 28 ) (x - 10)

Multiply To One Number and Add Up To Another
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