What two numbers multiply to 510 and add up to 107?

Here we answer the question: "What two numbers multiply to 510 and add up to 107?"

The answer to your question is:

5 and 102

Below we illustrate and prove that 5 and 102 multiply to 510 and add up to 107:

5 × 102 = 510
5 + 102 = 107

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

x² + 107x + 510 = 0

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

(x + 5 ) (x + 102)

To summarize, since 5 and 102 multiply to 510 and add up 107, you know that the following is true:

x² + 107x + 510 = (x + 5 ) (x + 102)

Multiply To One Number and Add Up To Another
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