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jmc

algebra senior

Problem

When the expression is written in the form , where , , and are constants, what is the sum ?
Solution
We will complete the square to rewrite the given expression in standard form. Factoring out a -2 from the first two terms, we have In order for the expression inside the parenthesis to be a perfect square, we need to add and subtract inside the parenthesis: Thus, , , and , so the sum is .
Final answer
0