What two numbers multiply to 675 and add up to 84?

Here we answer the question: "What two numbers multiply to 675 and add up to 84?"

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 84:

9 × 75 = 675
9 + 75 = 84

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

x² + 84x + 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 84, you know that the following is true:

x² + 84x + 675 = (x + 9 ) (x + 75)

Multiply To One Number and Add Up To Another
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