<p>The quadratic equation \(3x^2 + 6x + a = 0\) must have equal roots. Find the value of \(a\).</p>
Step-by-Step Solution
Key Concept: A quadratic equation has equal roots when its discriminant equals zero.
<p><strong>Solution:</strong> For equal roots, the discriminant must equal zero.</p><p>$D = b^2 - 4ac = 0$</p><p>$36 - 12a = 0$</p><p>$a = 3$</p><p>∴ Answer is <strong>3</strong>.</p>
Correct Answer: 3