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:

-7 and 31

Below we illustrate and prove that -7 and 31 multiply to -217 and add up to 24:

-7 × 31 = -217
-7 + 31 = 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 - 7 ) (x + 31)

To summarize, since -7 and 31 multiply to -217 and add up 24, you know that the following is true:

x² + 24x - 217 = (x - 7 ) (x + 31)

Multiply To One Number and Add Up To Another
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