In each of the following, determine whether the given values are solutions of the given equation...

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In each of the following, determine whether the given values are solutions of the given equation or not:
Di)
(i) \( x^{2}-3 x+2=0, x=2, x=-1 \)
(ii) \( x^{2}+x+1=0, x=0, x=1 \)
(iii) \( x^{2}-3 \sqrt{3} x+6=0, x=\sqrt{3}, x=-2 \sqrt{3} \)
(iv) \( x+\frac{1}{x}=\frac{13}{6}, x=\frac{5}{6}, x=\frac{4}{3} \)
(v) \( 2 x^{2}-x+9=x^{2}+4 x+3, x=2, x=3 \)
(vi) \( x^{2}-\sqrt{2} x-4=0, x=-\sqrt{2}, x=-2 \sqrt{2} \)
(vii) \( a^{2} x^{2}-3 a b x+2 b^{2}=0, x=a / b, x=b / a \)
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