What two numbers multiply to 420 and add up to -47?

Here we answer the question: "What two numbers multiply to 420 and add up to -47?"

The answer to your question is:

-35 and -12

Below we illustrate and prove that -35 and -12 multiply to 420 and add up to -47:

-35 × -12 = 420
-35 + -12 = -47

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

x² - 47x + 420 = 0

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

(x - 35 ) (x - 12)

To summarize, since -35 and -12 multiply to 420 and add up -47, you know that the following is true:

x² - 47x + 420 = (x - 35 ) (x - 12)

Multiply To One Number and Add Up To Another
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