What two numbers multiply to 49 and add up to -14?

Here we answer the question: "What two numbers multiply to 49 and add up to -14?"

The answer to your question is:

-7 and -7

Below we illustrate and prove that -7 and -7 multiply to 49 and add up to -14:

-7 × -7 = 49
-7 + -7 = -14

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

x² - 14x + 49 = 0

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

(x - 7 ) (x - 7)

To summarize, since -7 and -7 multiply to 49 and add up -14, you know that the following is true:

x² - 14x + 49 = (x - 7 ) (x - 7)

Multiply To One Number and Add Up To Another
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