What two numbers multiply to 217 and add up to -38?

Here we answer the question: "What two numbers multiply to 217 and add up to -38?"

The answer to your question is:

-31 and -7

Below we illustrate and prove that -31 and -7 multiply to 217 and add up to -38:

-31 × -7 = 217
-31 + -7 = -38

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

x² - 38x + 217 = 0

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

(x - 31 ) (x - 7)

To summarize, since -31 and -7 multiply to 217 and add up -38, you know that the following is true:

x² - 38x + 217 = (x - 31 ) (x - 7)

Multiply To One Number and Add Up To Another
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