What two numbers multiply to 280 and add up to 34?

Here we answer the question: "What two numbers multiply to 280 and add up to 34?"

The answer to your question is:

14 and 20

Below we illustrate and prove that 14 and 20 multiply to 280 and add up to 34:

14 × 20 = 280
14 + 20 = 34

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

x² + 34x + 280 = 0

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

(x + 14 ) (x + 20)

To summarize, since 14 and 20 multiply to 280 and add up 34, you know that the following is true:

x² + 34x + 280 = (x + 14 ) (x + 20)

Multiply To One Number and Add Up To Another
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