What two numbers multiply to -511 and add up to 66?

Here we answer the question: "What two numbers multiply to -511 and add up to 66?"

The answer to your question is:

-7 and 73

Below we illustrate and prove that -7 and 73 multiply to -511 and add up to 66:

-7 × 73 = -511
-7 + 73 = 66

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

x² + 66x - 511 = 0

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

(x - 7 ) (x + 73)

To summarize, since -7 and 73 multiply to -511 and add up 66, you know that the following is true:

x² + 66x - 511 = (x - 7 ) (x + 73)

Multiply To One Number and Add Up To Another
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