The root of the equation $3 x^{2} + 7 x + 8 = 0$ are
(a) both real and equal
(b) both real and unequal
(c) both imaginary
(d) none of these

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Solution

(c) both imaginary

$∵ D = (b^{2} - 4 a c) = 49 - 4 \times 3 \times 8 = 49 - 96 = - 47 < 0 Thus, the roots of the equation are imaginary .$

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