
Here we answer the question: "What two numbers multiply to 684 and add up to -55?"
The answer to your question is:
-36 and -19
Below we illustrate and prove that -36 and -19 multiply to 684 and add up to -55:
-36 × -19 = 684
-36 + -19 = -55
Are you asking because you are trying to figure out how to factor the following quadratic equation?
x2 - 55x + 684 = 0
If so, the solution to factor the quadratic equation above is:
(x - 36 ) (x - 19)
To summarize, since -36 and -19 multiply to 684 and add up -55, you know that the following is true:
x2 - 55x + 684 = (x - 36 ) (x - 19)
Multiply To One Number and Add Up To Another
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