What two numbers multiply to -756 and add up to 75?

Here we answer the question: "What two numbers multiply to -756 and add up to 75?"

The answer to your question is:

-9 and 84

Below we illustrate and prove that -9 and 84 multiply to -756 and add up to 75:

-9 × 84 = -756
-9 + 84 = 75

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

x² + 75x - 756 = 0

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

(x - 9 ) (x + 84)

To summarize, since -9 and 84 multiply to -756 and add up 75, you know that the following is true:

x² + 75x - 756 = (x - 9 ) (x + 84)

Multiply To One Number and Add Up To Another
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