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EXPLANATION.
→ √3x² + 11x + 6√3 = 0.
By using middle term split, we get.
→ √3x² + 9x + 2x + 6√3 = 0.
→ √3x ( x + 3√3 ) + 2 ( x + 3√3 ) = 0.
→ ( √3x + 2 ) ( x + 3√3 ) = 0.
Option D is correct answer.
More information.
(1) = D > 0 or [ b² - 4ac > 0 ]
Roots are real and unequal.
(2) = D = 0 Or [ b² - 4ac = 0 ].
Roots are real and equal.
(3) = D < 0 or [ b² - 4ac < 0 ].
Roots are imaginary.
(4) = Discriminant = D = b² - 4ac.
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