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:

5 and 84

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

5 × 84 = 420
5 + 84 = 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 + 5 ) (x + 84)

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

x² + 89x + 420 = (x + 5 ) (x + 84)

Multiply To One Number and Add Up To Another
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