10/m^2-1+2m-5/m-1=2m+5/m+1

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Solution for 10/m^2-1+2m-5/m-1=2m+5/m+1 equation: 


D( m )

m^2 = 0

m = 0

m^2 = 0

m^2 = 0

1*m^2 = 0 // : 1

m^2 = 0

m = 0

m = 0

m = 0

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

2*m-(5/m)+10/(m^2)-1-1 = 2*m+5/m+1 // - 2*m+5/m+1

2*m-(2*m)-(5/m)-(5/m)+10/(m^2)-1-1-1 = 0

2*m-2*m-5*m^-1-5*m^-1+10/(m^2)-1-1-1 = 0

10*m^-2-10*m^-1-3 = 0

t_1 = m^-1

10*t_1^2-10*t_1^1-3 = 0

10*t_1^2-10*t_1-3 = 0

DELTA = (-10)^2-(-3*4*10)

DELTA = 220

DELTA > 0

t_1 = (220^(1/2)+10)/(2*10) or t_1 = (10-220^(1/2))/(2*10)

t_1 = (2*55^(1/2)+10)/20 or t_1 = (10-2*55^(1/2))/20

t_1 = (10-2*55^(1/2))/20

m^-1-((10-2*55^(1/2))/20) = 0

1*m^-1 = (10-2*55^(1/2))/20 // : 1

m^-1 = (10-2*55^(1/2))/20

-1 < 0

1/(m^1) = (10-2*55^(1/2))/20 // * m^1

1 = ((10-2*55^(1/2))/20)*m^1 // : (10-2*55^(1/2))/20

20*(10-2*55^(1/2))^-1 = m^1

m = 20*(10-2*55^(1/2))^-1

t_1 = (2*55^(1/2)+10)/20

m^-1-((2*55^(1/2)+10)/20) = 0

1*m^-1 = (2*55^(1/2)+10)/20 // : 1

m^-1 = (2*55^(1/2)+10)/20

-1 < 0

1/(m^1) = (2*55^(1/2)+10)/20 // * m^1

1 = ((2*55^(1/2)+10)/20)*m^1 // : (2*55^(1/2)+10)/20

20*(2*55^(1/2)+10)^-1 = m^1

m = 20*(2*55^(1/2)+10)^-1

m in { 20*(10-2*55^(1/2))^-1, 20*(2*55^(1/2)+10)^-1 }

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