a/a-2-1/a+2=2a+2/a^2-4

Solution for a/a-2-1/a+2=2a+2/a^2-4 equation:

D( a )

a^2 = 0

a = 0

a^2 = 0

a^2 = 0

1*a^2 = 0 // : 1

a^2 = 0

a = 0

a = 0

a = 0

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

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

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

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

5*a^0-2*a^1-1*a^-1-2*a^-2 = 0

(5*a^2-2*a^3-1*a^1-2*a^0)/(a^2) = 0 // * a^4

a^2*(5*a^2-2*a^3-1*a^1-2*a^0) = 0

a^2

5*a^2-2*a^3-a-2 = 0

{ 1, -1, 2, -2 }

1

a = 1

5*a^2-2*a^3-a-2 = 0

1

a-1

3*a-2*a^2+2

5*a^2-2*a^3-a-2

a-1

2*a^3-2*a^2

3*a^2-a-2

3*a-3*a^2

2*a-2

2-2*a

0

3*a-2*a^2+2 = 0

DELTA = 3^2-(-2*2*4)

DELTA = 25

DELTA > 0

a = (25^(1/2)-3)/(-2*2) or a = (-25^(1/2)-3)/(-2*2)

a = -1/2 or a = 2

a in { -1/2, 2, 1} 

a in { -1/2, 2, 1 }