What two numbers multiply to -255 and add up to 46?

Here we answer the question: "What two numbers multiply to -255 and add up to 46?"

The answer to your question is:

-5 and 51

Below we illustrate and prove that -5 and 51 multiply to -255 and add up to 46:

-5 × 51 = -255
-5 + 51 = 46

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

x² + 46x - 255 = 0

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

(x - 5 ) (x + 51)

To summarize, since -5 and 51 multiply to -255 and add up 46, you know that the following is true:

x² + 46x - 255 = (x - 5 ) (x + 51)

Multiply To One Number and Add Up To Another
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