What two numbers multiply to 510 and add up to 61?

Here we answer the question: "What two numbers multiply to 510 and add up to 61?"

The answer to your question is:

10 and 51

Below we illustrate and prove that 10 and 51 multiply to 510 and add up to 61:

10 × 51 = 510
10 + 51 = 61

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

x² + 61x + 510 = 0

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

(x + 10 ) (x + 51)

To summarize, since 10 and 51 multiply to 510 and add up 61, you know that the following is true:

x² + 61x + 510 = (x + 10 ) (x + 51)

Multiply To One Number and Add Up To Another
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