What two numbers multiply to 500 and add up to 45?

Here we answer the question: "What two numbers multiply to 500 and add up to 45?"

The answer to your question is:

20 and 25

Below we illustrate and prove that 20 and 25 multiply to 500 and add up to 45:

20 × 25 = 500
20 + 25 = 45

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

x² + 45x + 500 = 0

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

(x + 20 ) (x + 25)

To summarize, since 20 and 25 multiply to 500 and add up 45, you know that the following is true:

x² + 45x + 500 = (x + 20 ) (x + 25)

Multiply To One Number and Add Up To Another
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