Final answer:
To solve the rational equation 2 + 1 = ²/x, subtract 2 from both sides of the equation, simplify the right side, and conclude that there is no solution.
Step-by-step explanation:
To solve the rational equation 2 + 1 = ²/x, we need to isolate the variable x. First, we subtract 2 from both sides of the equation to get 1 = ²/x - 2. Next, we simplify the right side of the equation by subtracting 2 from the denominator: 1 = ²/(x - 2). Finally, we multiply both sides of the equation by (x - 2) to get x - 2 = ². However, this equation has no solution because the square of any real number is always positive and cannot equal 2. Therefore, the correct answer is OA. There is no solution.
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