What two numbers multiply to -678 and add up to 107?

Here we answer the question: "What two numbers multiply to -678 and add up to 107?"

The answer to your question is:

-6 and 113

Below we illustrate and prove that -6 and 113 multiply to -678 and add up to 107:

-6 × 113 = -678
-6 + 113 = 107

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

x² + 107x - 678 = 0

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

(x - 6 ) (x + 113)

To summarize, since -6 and 113 multiply to -678 and add up 107, you know that the following is true:

x² + 107x - 678 = (x - 6 ) (x + 113)

Multiply To One Number and Add Up To Another
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