What two numbers multiply to 380 and add up to 48?

Here we answer the question: "What two numbers multiply to 380 and add up to 48?"

The answer to your question is:

10 and 38

Below we illustrate and prove that 10 and 38 multiply to 380 and add up to 48:

10 × 38 = 380
10 + 38 = 48

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

x² + 48x + 380 = 0

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

(x + 10 ) (x + 38)

To summarize, since 10 and 38 multiply to 380 and add up 48, you know that the following is true:

x² + 48x + 380 = (x + 10 ) (x + 38)

Multiply To One Number and Add Up To Another
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