What two numbers multiply to 600 and add up to 55?

Here we answer the question: "What two numbers multiply to 600 and add up to 55?"

The answer to your question is:

15 and 40

Below we illustrate and prove that 15 and 40 multiply to 600 and add up to 55:

15 × 40 = 600
15 + 40 = 55

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

x² + 55x + 600 = 0

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

(x + 15 ) (x + 40)

To summarize, since 15 and 40 multiply to 600 and add up 55, you know that the following is true:

x² + 55x + 600 = (x + 15 ) (x + 40)

Multiply To One Number and Add Up To Another
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