What two numbers multiply to -205 and add up to -36?

Here we answer the question: "What two numbers multiply to -205 and add up to -36?"

The answer to your question is:

-41 and 5

Below we illustrate and prove that -41 and 5 multiply to -205 and add up to -36:

-41 × 5 = -205
-41 + 5 = -36

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

x² - 36x - 205 = 0

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

(x - 41 ) (x + 5)

To summarize, since -41 and 5 multiply to -205 and add up -36, you know that the following is true:

x² - 36x - 205 = (x - 41 ) (x + 5)

Multiply To One Number and Add Up To Another
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