What two numbers multiply to 385 and add up to 46?

Here we answer the question: "What two numbers multiply to 385 and add up to 46?"

The answer to your question is:

11 and 35

Below we illustrate and prove that 11 and 35 multiply to 385 and add up to 46:

11 × 35 = 385
11 + 35 = 46

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

x² + 46x + 385 = 0

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

(x + 11 ) (x + 35)

To summarize, since 11 and 35 multiply to 385 and add up 46, you know that the following is true:

x² + 46x + 385 = (x + 11 ) (x + 35)

Multiply To One Number and Add Up To Another
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