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Which of the following are quadratic equations?
(i) \( x^{2}+6 x-4=0 \)
(ii) \( \sqrt{3} x^{2}-2 x+\frac{1}{2}=0 \)
(iii) \( x^{2}+\frac{1}{x^{2}}=5 \)
(iv) \( x-\frac{3}{x}=x^{2} \)
(v) \( 2 x^{2}-\sqrt{3 x}+9=0 \)
(vi) \( x^{2}-2 x-\sqrt{x}-5=0 \)
(vii) \( 3 x^{2}-5 x+9=x^{2}-7 x+3 \)
(viii) \( x+\frac{1}{x}=1 \)
(ix) \( x^{2}-3 x=0 \)
(x) \( \left(x+\frac{1}{x}\right)^{2}=3\left(x+\frac{1}{x}\right)+4 \)
(xi) \( (2 x+1)(3 x+2)=6(x-1)(x-2) \)
(xii) \( x+\frac{1}{x}=x^{2}, x \neq 0 \)
(xiii) \( 16 x^{2}-3=(2 x+5)(5 x-3) \)
(xiv) \( (x+2)^{3}=x^{3}-4 \)
(xv) \( x(x+1)+8=(x+2)(x-2) \)
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