Problem 186 of 7
Transform x^2+4x+1=0 into a perfect-square equation.
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preserve equality while adding terms.
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Equation must be transformable by completing the square and preserving equality.
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Correct
Your answer is equivalent to the expected form.
Solution
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1. Normalize the leading coefficient if needed.
2. Add the needed square value to both sides.
3. Factor the left side as a squared binomial.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Adding a square term to only one side of the equation.