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:

-36 and -21

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

-36 × -21 = 756
-36 + -21 = -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 - 36 ) (x - 21)

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

x² - 57x + 756 = (x - 36 ) (x - 21)

Multiply To One Number and Add Up To Another
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