What two numbers multiply to 200 and add up to -30?

Here we answer the question: "What two numbers multiply to 200 and add up to -30?"

The answer to your question is:

-20 and -10

Below we illustrate and prove that -20 and -10 multiply to 200 and add up to -30:

-20 × -10 = 200
-20 + -10 = -30

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

x² - 30x + 200 = 0

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

(x - 20 ) (x - 10)

To summarize, since -20 and -10 multiply to 200 and add up -30, you know that the following is true:

x² - 30x + 200 = (x - 20 ) (x - 10)

Multiply To One Number and Add Up To Another
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