Problem 155 of 7
Solve vertex-form equation (1/3)(x+2)^2 + 3 = 0.
Hints
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use vertex-form structure.
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Equation must be in vertex form or immediately reducible to square-root form.
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Solution
Walkthrough
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1. Isolate the squared binomial.
2. Take both square roots, using i if the isolated value is negative.
3. Undo the horizontal shift to solve for x.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Expanding when it causes avoidable arithmetic errors if final roots are wrong.