What two numbers multiply to 200 and add up to -45?

Here we answer the question: "What two numbers multiply to 200 and add up to -45?"

The answer to your question is:

-40 and -5

Below we illustrate and prove that -40 and -5 multiply to 200 and add up to -45:

-40 × -5 = 200
-40 + -5 = -45

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

x² - 45x + 200 = 0

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

(x - 40 ) (x - 5)

To summarize, since -40 and -5 multiply to 200 and add up -45, you know that the following is true:

x² - 45x + 200 = (x - 40 ) (x - 5)

Multiply To One Number and Add Up To Another
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