What two numbers multiply to 100 and add up to -25?

Here we answer the question: "What two numbers multiply to 100 and add up to -25?"

The answer to your question is:

-20 and -5

Below we illustrate and prove that -20 and -5 multiply to 100 and add up to -25:

-20 × -5 = 100
-20 + -5 = -25

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

x² - 25x + 100 = 0

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

(x - 20 ) (x - 5)

To summarize, since -20 and -5 multiply to 100 and add up -25, you know that the following is true:

x² - 25x + 100 = (x - 20 ) (x - 5)

Multiply To One Number and Add Up To Another
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