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:

10 and 20

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

10 × 20 = 200
10 + 20 = 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 + 10 ) (x + 20)

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

x² + 30x + 200 = (x + 10 ) (x + 20)

Multiply To One Number and Add Up To Another
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