What two numbers multiply to 7 and add up to -8?

Here we answer the question: "What two numbers multiply to 7 and add up to -8?"

The answer to your question is:

-7 and -1

Below we illustrate and prove that -7 and -1 multiply to 7 and add up to -8:

-7 × -1 = 7
-7 + -1 = -8

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

x² - 8x + 7 = 0

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

(x - 7 ) (x - 1)

To summarize, since -7 and -1 multiply to 7 and add up -8, you know that the following is true:

x² - 8x + 7 = (x - 7 ) (x - 1)

Multiply To One Number and Add Up To Another
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