What two numbers multiply to 575 and add up to 48?

Here we answer the question: "What two numbers multiply to 575 and add up to 48?"

The answer to your question is:

23 and 25

Below we illustrate and prove that 23 and 25 multiply to 575 and add up to 48:

23 × 25 = 575
23 + 25 = 48

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

x² + 48x + 575 = 0

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

(x + 23 ) (x + 25)

To summarize, since 23 and 25 multiply to 575 and add up 48, you know that the following is true:

x² + 48x + 575 = (x + 23 ) (x + 25)

Multiply To One Number and Add Up To Another
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