What two numbers multiply to 400 and add up to 50?

Here we answer the question: "What two numbers multiply to 400 and add up to 50?"

The answer to your question is:

10 and 40

Below we illustrate and prove that 10 and 40 multiply to 400 and add up to 50:

10 × 40 = 400
10 + 40 = 50

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

x² + 50x + 400 = 0

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

(x + 10 ) (x + 40)

To summarize, since 10 and 40 multiply to 400 and add up 50, you know that the following is true:

x² + 50x + 400 = (x + 10 ) (x + 40)

Multiply To One Number and Add Up To Another
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