What two numbers multiply to 360 and add up to 46?

Here we answer the question: "What two numbers multiply to 360 and add up to 46?"

The answer to your question is:

10 and 36

Below we illustrate and prove that 10 and 36 multiply to 360 and add up to 46:

10 × 36 = 360
10 + 36 = 46

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

x² + 46x + 360 = 0

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

(x + 10 ) (x + 36)

To summarize, since 10 and 36 multiply to 360 and add up 46, you know that the following is true:

x² + 46x + 360 = (x + 10 ) (x + 36)

Multiply To One Number and Add Up To Another
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