What two numbers multiply to -14 and add up to -5?

Here we answer the question: "What two numbers multiply to -14 and add up to -5?"

The answer to your question is:

-7 and 2

Below we illustrate and prove that -7 and 2 multiply to -14 and add up to -5:

-7 × 2 = -14
-7 + 2 = -5

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

x² - 5x - 14 = 0

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

(x - 7 ) (x + 2)

To summarize, since -7 and 2 multiply to -14 and add up -5, you know that the following is true:

x² - 5x - 14 = (x - 7 ) (x + 2)

Multiply To One Number and Add Up To Another
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