(b^2-b-6/2b)/(b^2-4/b^2)

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Solution for (b^2-b-6/2b)/(b^2-4/b^2) equation: 


D( b )

b^2 = 0

b^2-(4/(b^2)) = 0

b^2 = 0

b^2 = 0

1*b^2 = 0 // : 1

b^2 = 0

b = 0

b^2-(4/(b^2)) = 0

b^2-(4/(b^2)) = 0

b^2-4*b^-2 = 0

t_1 = b^2

1*t_1^1-4*t_1^-1 = 0

1*t_1^1-4*t_1^-1 = 0

(1*t_1^2-4*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(1*t_1^2-4*t_1^0) = 0

t_1^1

t_1^2-4 = 0

t_1^2-4 = 0

DELTA = 0^2-(-4*1*4)

DELTA = 16

DELTA > 0

t_1 = (16^(1/2)+0)/(1*2) or t_1 = (0-16^(1/2))/(1*2)

t_1 = 2 or t_1 = -2

t_1 in { -2, 2} 

t_1 = -2

b^2+2 = 0

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

b^2 = -2

t_1 = 2

b^2-2 = 0

1*b^2 = 2 // : 1

b^2 = 2

b^2 = 2 // ^ 1/2

abs(b) = 2^(1/2)

b = 2^(1/2) or b = -2^(1/2)

b in (-oo:-2^(1/2)) U (-2^(1/2):0) U (0:2^(1/2)) U (2^(1/2):+oo)

(b^2-b-((6/2)*b))/(b^2-(4/(b^2))) = 0

(b^2-b-3*b)/(b^2-4*b^-2) = 0

(b^2-4*b)/(b^2-4*b^-2) = 0

b^2-4*b = 0

b*(b-4) = 0

b-4 = 0 // + 4

b = 4

b*(b-4) = 0

b^2-4*b^-2 = 0

b^-2*(b^4-4) = 0

1*b^4 = 4 // : 1

b^4 = 4

b^4 = 4 // ^ 1/4

abs(b) = 4^(1/4)

b = 4^(1/4) or b = -4^(1/4)

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

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

( b-4 )

b-4 = 0 // + 4

b = 4

( b )

b = 0

b in { 0} 

b = 4

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