134
(a) Solve the equation $4x^2 - 9x + 3 = 0$, using quadratic formula.
OR
(b) Find the nature of roots of the equation $3x^2 - 4\sqrt{3}x + 4 = 0$.
OR
(b) Find the nature of roots of the equation $3x^2 - 4\sqrt{3}x + 4 = 0$.
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(a) Discriminant $= 33$
$\Rightarrow x = \frac{9 \pm \sqrt{33}}{8}$
OR
(b) Discriminant $= (-4\sqrt{3})^2 - 4 \times 4 \times 3 = 0$
$\Rightarrow$ The given equation has real and equal roots
$\Rightarrow x = \frac{9 \pm \sqrt{33}}{8}$
OR
(b) Discriminant $= (-4\sqrt{3})^2 - 4 \times 4 \times 3 = 0$
$\Rightarrow$ The given equation has real and equal roots