Problem 63 of 7
Solve 2x^2-4x-1=0 by completing the square.
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transform to square-root equation.
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Quadratic must be suitable for completing-square solution.
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Solution
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1. Move the constant and normalize if needed.
2. Complete the square on the x terms.
3. Take square roots and isolate x.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Decimal approximations unless the prompt explicitly asks for approximations.