<p>Put x² = y/a in the expression and find the range of y such that both solutions are positive and one is greater than 2.</p>
Step-by-Step Solution
Key Concept: Substitution transforms the problem into finding parameter bounds from the quadratic solutions.
<p><strong>Step 1:</strong> Substituting x² = y/a into the equation:</p><p>$$y + \left(-2 - \frac{1}{a}\right)y = 0$$</p><p><strong>Step 2:</strong> This gives y = 0 or y = 2 - 1/a</p><p><strong>Step 3:</strong> For the condition 2 > 2 - 1/a > 0, we need:</p><p>$$a > \frac{1}{2}$$</p><p>∴ Answer is (d).</p>
Correct Answer: D