What two numbers multiply to 578 and add up to 51?

Here we answer the question: "What two numbers multiply to 578 and add up to 51?"

The answer to your question is:

17 and 34

Below we illustrate and prove that 17 and 34 multiply to 578 and add up to 51:

17 × 34 = 578
17 + 34 = 51

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

x² + 51x + 578 = 0

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

(x + 17 ) (x + 34)

To summarize, since 17 and 34 multiply to 578 and add up 51, you know that the following is true:

x² + 51x + 578 = (x + 17 ) (x + 34)

Multiply To One Number and Add Up To Another
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