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:

-82 and 5

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

-82 × 5 = -410
-82 + 5 = -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 - 82 ) (x + 5)

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

x² - 77x - 410 = (x - 82 ) (x + 5)

Multiply To One Number and Add Up To Another
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