What two numbers multiply to -678 and add up to 223?

Here we answer the question: "What two numbers multiply to -678 and add up to 223?"

The answer to your question is:

-3 and 226

Below we illustrate and prove that -3 and 226 multiply to -678 and add up to 223:

-3 × 226 = -678
-3 + 226 = 223

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

x² + 223x - 678 = 0

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

(x - 3 ) (x + 226)

To summarize, since -3 and 226 multiply to -678 and add up 223, you know that the following is true:

x² + 223x - 678 = (x - 3 ) (x + 226)

Multiply To One Number and Add Up To Another
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