What two numbers multiply to -217 and add up to -24?

Here we answer the question: "What two numbers multiply to -217 and add up to -24?"

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 -24:

-31 × 7 = -217
-31 + 7 = -24

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

x² - 24x - 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 -24, you know that the following is true:

x² - 24x - 217 = (x - 31 ) (x + 7)

Multiply To One Number and Add Up To Another
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