What two numbers multiply to 83 and add up to 84?

Here we answer the question: "What two numbers multiply to 83 and add up to 84?"

The answer to your question is:

1 and 83

Below we illustrate and prove that 1 and 83 multiply to 83 and add up to 84:

1 × 83 = 83
1 + 83 = 84

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

x² + 84x + 83 = 0

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

(x + 1 ) (x + 83)

To summarize, since 1 and 83 multiply to 83 and add up 84, you know that the following is true:

x² + 84x + 83 = (x + 1 ) (x + 83)

Multiply To One Number and Add Up To Another
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