What two numbers multiply to 205 and add up to -46?

Here we answer the question: "What two numbers multiply to 205 and add up to -46?"

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 -46:

-41 × -5 = 205
-41 + -5 = -46

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

x² - 46x + 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 -46, you know that the following is true:

x² - 46x + 205 = (x - 41 ) (x - 5)

Multiply To One Number and Add Up To Another
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