What two numbers multiply to 200 and add up to 45?

Here we answer the question: "What two numbers multiply to 200 and add up to 45?"

The answer to your question is:

5 and 40

Below we illustrate and prove that 5 and 40 multiply to 200 and add up to 45:

5 × 40 = 200
5 + 40 = 45

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

x² + 45x + 200 = 0

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

(x + 5 ) (x + 40)

To summarize, since 5 and 40 multiply to 200 and add up 45, you know that the following is true:

x² + 45x + 200 = (x + 5 ) (x + 40)

Multiply To One Number and Add Up To Another
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