What two numbers multiply to 46 and add up to -47?

Here we answer the question: "What two numbers multiply to 46 and add up to -47?"

The answer to your question is:

-46 and -1

Below we illustrate and prove that -46 and -1 multiply to 46 and add up to -47:

-46 × -1 = 46
-46 + -1 = -47

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

x² - 47x + 46 = 0

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

(x - 46 ) (x - 1)

To summarize, since -46 and -1 multiply to 46 and add up -47, you know that the following is true:

x² - 47x + 46 = (x - 46 ) (x - 1)

Multiply To One Number and Add Up To Another
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