What two numbers multiply to 420 and add up to -52?

Here we answer the question: "What two numbers multiply to 420 and add up to -52?"

The answer to your question is:

-42 and -10

Below we illustrate and prove that -42 and -10 multiply to 420 and add up to -52:

-42 × -10 = 420
-42 + -10 = -52

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

x² - 52x + 420 = 0

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

(x - 42 ) (x - 10)

To summarize, since -42 and -10 multiply to 420 and add up -52, you know that the following is true:

x² - 52x + 420 = (x - 42 ) (x - 10)

Multiply To One Number and Add Up To Another
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