What two numbers multiply to 45 and add up to -46?

Here we answer the question: "What two numbers multiply to 45 and add up to -46?"

The answer to your question is:

-45 and -1

Below we illustrate and prove that -45 and -1 multiply to 45 and add up to -46:

-45 × -1 = 45
-45 + -1 = -46

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

x² - 46x + 45 = 0

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

(x - 45 ) (x - 1)

To summarize, since -45 and -1 multiply to 45 and add up -46, you know that the following is true:

x² - 46x + 45 = (x - 45 ) (x - 1)

Multiply To One Number and Add Up To Another
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