What two numbers multiply to -7 and add up to 6?

Here we answer the question: "What two numbers multiply to -7 and add up to 6?"

The answer to your question is:

-1 and 7

Below we illustrate and prove that -1 and 7 multiply to -7 and add up to 6:

-1 × 7 = -7
-1 + 7 = 6

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

x² + 6x - 7 = 0

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

(x - 1 ) (x + 7)

To summarize, since -1 and 7 multiply to -7 and add up 6, you know that the following is true:

x² + 6x - 7 = (x - 1 ) (x + 7)

Multiply To One Number and Add Up To Another
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