What two numbers multiply to -428 and add up to 427?

Here we answer the question: "What two numbers multiply to -428 and add up to 427?"

The answer to your question is:

-1 and 428

Below we illustrate and prove that -1 and 428 multiply to -428 and add up to 427:

-1 × 428 = -428
-1 + 428 = 427

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

x² + 427x - 428 = 0

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

(x - 1 ) (x + 428)

To summarize, since -1 and 428 multiply to -428 and add up 427, you know that the following is true:

x² + 427x - 428 = (x - 1 ) (x + 428)

Multiply To One Number and Add Up To Another
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