What two numbers multiply to 364 and add up to 40?

Here we answer the question: "What two numbers multiply to 364 and add up to 40?"

The answer to your question is:

14 and 26

Below we illustrate and prove that 14 and 26 multiply to 364 and add up to 40:

14 × 26 = 364
14 + 26 = 40

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

x² + 40x + 364 = 0

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

(x + 14 ) (x + 26)

To summarize, since 14 and 26 multiply to 364 and add up 40, you know that the following is true:

x² + 40x + 364 = (x + 14 ) (x + 26)

Multiply To One Number and Add Up To Another
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