What two numbers multiply to 204 and add up to 71?

Here we answer the question: "What two numbers multiply to 204 and add up to 71?"

The answer to your question is:

3 and 68

Below we illustrate and prove that 3 and 68 multiply to 204 and add up to 71:

3 × 68 = 204
3 + 68 = 71

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

x² + 71x + 204 = 0

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

(x + 3 ) (x + 68)

To summarize, since 3 and 68 multiply to 204 and add up 71, you know that the following is true:

x² + 71x + 204 = (x + 3 ) (x + 68)

Multiply To One Number and Add Up To Another
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