What two numbers multiply to 510 and add up to 49?

Here we answer the question: "What two numbers multiply to 510 and add up to 49?"

The answer to your question is:

15 and 34

Below we illustrate and prove that 15 and 34 multiply to 510 and add up to 49:

15 × 34 = 510
15 + 34 = 49

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

x² + 49x + 510 = 0

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

(x + 15 ) (x + 34)

To summarize, since 15 and 34 multiply to 510 and add up 49, you know that the following is true:

x² + 49x + 510 = (x + 15 ) (x + 34)

Multiply To One Number and Add Up To Another
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