What two numbers multiply to -675 and add up to 66?

Here we answer the question: "What two numbers multiply to -675 and add up to 66?"

The answer to your question is:

-9 and 75

Below we illustrate and prove that -9 and 75 multiply to -675 and add up to 66:

-9 × 75 = -675
-9 + 75 = 66

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

x² + 66x - 675 = 0

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

(x - 9 ) (x + 75)

To summarize, since -9 and 75 multiply to -675 and add up 66, you know that the following is true:

x² + 66x - 675 = (x - 9 ) (x + 75)

Multiply To One Number and Add Up To Another
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