What two numbers multiply to -610 and add up to 51?

Here we answer the question: "What two numbers multiply to -610 and add up to 51?"

The answer to your question is:

-10 and 61

Below we illustrate and prove that -10 and 61 multiply to -610 and add up to 51:

-10 × 61 = -610
-10 + 61 = 51

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

x² + 51x - 610 = 0

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

(x - 10 ) (x + 61)

To summarize, since -10 and 61 multiply to -610 and add up 51, you know that the following is true:

x² + 51x - 610 = (x - 10 ) (x + 61)

Multiply To One Number and Add Up To Another
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