What two numbers multiply to -240 and add up to 14?

Here we answer the question: "What two numbers multiply to -240 and add up to 14?"

The answer to your question is:

-10 and 24

Below we illustrate and prove that -10 and 24 multiply to -240 and add up to 14:

-10 × 24 = -240
-10 + 24 = 14

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

x² + 14x - 240 = 0

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

(x - 10 ) (x + 24)

To summarize, since -10 and 24 multiply to -240 and add up 14, you know that the following is true:

x² + 14x - 240 = (x - 10 ) (x + 24)

Multiply To One Number and Add Up To Another
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