What two numbers multiply to 420 and add up to -89?

Here we answer the question: "What two numbers multiply to 420 and add up to -89?"

The answer to your question is:

-84 and -5

Below we illustrate and prove that -84 and -5 multiply to 420 and add up to -89:

-84 × -5 = 420
-84 + -5 = -89

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

x² - 89x + 420 = 0

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

(x - 84 ) (x - 5)

To summarize, since -84 and -5 multiply to 420 and add up -89, you know that the following is true:

x² - 89x + 420 = (x - 84 ) (x - 5)

Multiply To One Number and Add Up To Another
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