What two numbers multiply to -682 and add up to 51?

Here we answer the question: "What two numbers multiply to -682 and add up to 51?"

The answer to your question is:

-11 and 62

Below we illustrate and prove that -11 and 62 multiply to -682 and add up to 51:

-11 × 62 = -682
-11 + 62 = 51

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

x² + 51x - 682 = 0

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

(x - 11 ) (x + 62)

To summarize, since -11 and 62 multiply to -682 and add up 51, you know that the following is true:

x² + 51x - 682 = (x - 11 ) (x + 62)

Multiply To One Number and Add Up To Another
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