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Check whether the following are quadrati...

Check whether the following are quadratic equations :
(1) `(x-1)^(2)=2(x-3)`
(2) `x^(2)-2x=(-2)(3-x)`
(3) `(x-2)(x+1)=(x-1)(x+3)`
(4) `(x-3)(2x+1)=x(x+5)`
(5) `(2x-1)(x-3)=(x+5)(x-1)`
(6) ` x^(2)+3x+1=(x-2)^(2)`
(7) `(x+2)^(3)=2x(x^(2)-1)`
(8) `x^(3)-4x^(2)-x+1=(x-2)^(3)`

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