In each of the following equations, determine whether the given values are a solution of the giv...
In each of the following equations, determine whether the given values are a solution of the given
(W) equations or not.
(i) \( x^{2}-x+1=0 ; x=1, x=-1 \)
(ii) \( x^{2}+\sqrt{2} x-4=0 ; x=\sqrt{2}, x=-2 \sqrt{2} \)
(iii) \( 2 x^{2}-x+9=x^{2}+4 x+3 ; x=2, x=3 \)
(iv) \( \sqrt{5} x^{2}-8 x+3 \sqrt{5}=0 ; x=\sqrt{5}, x=\frac{3}{\sqrt{5}} \)
(v) \( \frac{2 x}{x-3}+\frac{1}{2 x+3}+\frac{3 x+9}{(x-3)(2 x+3)} ; x=3,-1 \)
(vi) \( \frac{4}{x}-3=\frac{5}{2 x+3} ; x=1, x=-2 \)
(vii) \( \sqrt{x+4}=x-1 ; x=3,1 \)
(viii) \( x^{2}+(\sqrt{5}+1) x+\sqrt{5}=0, x=1,-\sqrt{5} \)
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