What two numbers multiply to 756 and add up to 57?

Here we answer the question: "What two numbers multiply to 756 and add up to 57?"

The answer to your question is:

21 and 36

Below we illustrate and prove that 21 and 36 multiply to 756 and add up to 57:

21 × 36 = 756
21 + 36 = 57

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

x² + 57x + 756 = 0

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

(x + 21 ) (x + 36)

To summarize, since 21 and 36 multiply to 756 and add up 57, you know that the following is true:

x² + 57x + 756 = (x + 21 ) (x + 36)

Multiply To One Number and Add Up To Another
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