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Question

If the equation 4x2-3kx+1=0 has equal roots, then k = ?
(a) ±23
(b) ±13
(c) ±34
(d) ±43

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Solution

(d) ±43

It is given that the roots of the equation (4x2 3kx + 1 = 0) are equal. (b2 4ac) = 0 (3k)2 4 × 4 × 1 = 0 9k2 = 16 k2 = 169 k = ±43

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