What two numbers multiply to 500 and add up to -45?

Here we answer the question: "What two numbers multiply to 500 and add up to -45?"

The answer to your question is:

-25 and -20

Below we illustrate and prove that -25 and -20 multiply to 500 and add up to -45:

-25 × -20 = 500
-25 + -20 = -45

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

x² - 45x + 500 = 0

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

(x - 25 ) (x - 20)

To summarize, since -25 and -20 multiply to 500 and add up -45, you know that the following is true:

x² - 45x + 500 = (x - 25 ) (x - 20)

Multiply To One Number and Add Up To Another
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