2(a-2)=a-1/a-4

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Solution for 2(a-2)=a-1/a-4 equation: 


D( a )

a = 0

a = 0

a = 0

a in (-oo:0) U (0:+oo)

2*(a-2) = a-(1/a)-4 // - a-(1/a)-4

2*(a-2)-a+1/a+4 = 0

(2*a*(a-2))/a+(-a*a)/a+1/a+(4*a)/a = 0

2*a*(a-2)-a*a+4*a+1 = 0

a^2-4*a+4*a+1 = 0

a^2+1 = 0

(a^2+1)/a = 0

(a^2+1)/a = 0 // * a

a^2+1 = 0

1*a^2 = -1 // : 1

a^2 = -1

a belongs to the empty set

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