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

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Solution for (2)-(2/a)=1/(a^2) 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)

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

2-(2/a)-(1/(a^2)) = 0

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

t_1 = a^-1

2-1*t_1^2-2*t_1^1 = 0

2-t_1^2-2*t_1 = 0

DELTA = (-2)^2-(-1*2*4)

DELTA = 12

DELTA > 0

t_1 = (12^(1/2)+2)/(-1*2) or t_1 = (2-12^(1/2))/(-1*2)

t_1 = (2*3^(1/2)+2)/(-2) or t_1 = (2-2*3^(1/2))/(-2)

t_1 = (2*3^(1/2)+2)/(-2)

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

1*a^-1 = (2*3^(1/2)+2)/(-2) // : 1

a^-1 = (2*3^(1/2)+2)/(-2)

-1 < 0

1/(a^1) = (2*3^(1/2)+2)/(-2) // * a^1

1 = ((2*3^(1/2)+2)/(-2))*a^1 // : (2*3^(1/2)+2)/(-2)

-2*(2*3^(1/2)+2)^-1 = a^1

a = -2*(2*3^(1/2)+2)^-1

t_1 = (2-2*3^(1/2))/(-2)

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

1*a^-1 = (2-2*3^(1/2))/(-2) // : 1

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

-1 < 0

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

1 = ((2-2*3^(1/2))/(-2))*a^1 // : (2-2*3^(1/2))/(-2)

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

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

a in { -2*(2*3^(1/2)+2)^-1, -2*(2-2*3^(1/2))^-1 }

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