What two numbers multiply to -410 and add up to 77?

Here we answer the question: "What two numbers multiply to -410 and add up to 77?"

The answer to your question is:

-5 and 82

Below we illustrate and prove that -5 and 82 multiply to -410 and add up to 77:

-5 × 82 = -410
-5 + 82 = 77

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

x² + 77x - 410 = 0

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

(x - 5 ) (x + 82)

To summarize, since -5 and 82 multiply to -410 and add up 77, you know that the following is true:

x² + 77x - 410 = (x - 5 ) (x + 82)

Multiply To One Number and Add Up To Another
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