What two numbers multiply to 400 and add up to -40?

Here we answer the question: "What two numbers multiply to 400 and add up to -40?"

The answer to your question is:

-20 and -20

Below we illustrate and prove that -20 and -20 multiply to 400 and add up to -40:

-20 × -20 = 400
-20 + -20 = -40

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

x² - 40x + 400 = 0

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

(x - 20 ) (x - 20)

To summarize, since -20 and -20 multiply to 400 and add up -40, you know that the following is true:

x² - 40x + 400 = (x - 20 ) (x - 20)

Multiply To One Number and Add Up To Another
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