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Question

If the equation 9x2 + 6kx + 4 = 0 has equal roots then k = ?
(a) 2 or 0
(b) −2 or 0
(c) 2 or −2
(d) 0 only

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Solution

(c) 2 or −2
It is given that the roots of the equation (9x2 + 6kx + 4 = 0) are equal. (b2 4ac) = 0 (6k)2 4 × 9 × 4 = 0 36k2 = 144 k2 = 4 k = ±2

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