(4/m-5)-(3/m+5)=12/m^2-25

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Solution for (4/m-5)-(3/m+5)=12/m^2-25 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)

4/m-(3/m)-5-5 = 12/(m^2)-25 // - 12/(m^2)-25

4/m-(3/m)-(12/(m^2))-5-5+25 = 0

4/m-3*m^-1-12*m^-2-5-5+25 = 0

m^-1-12*m^-2+15 = 0

t_1 = m^-1

1*t_1^1-12*t_1^2+15 = 0

t_1-12*t_1^2+15 = 0

DELTA = 1^2-(-12*4*15)

DELTA = 721

DELTA > 0

t_1 = (721^(1/2)-1)/(-12*2) or t_1 = (-721^(1/2)-1)/(-12*2)

t_1 = (721^(1/2)-1)/(-24) or t_1 = (721^(1/2)+1)/24

t_1 = (721^(1/2)-1)/(-24)

m^-1-((721^(1/2)-1)/(-24)) = 0

1*m^-1 = (721^(1/2)-1)/(-24) // : 1

m^-1 = (721^(1/2)-1)/(-24)

-1 < 0

1/(m^1) = (721^(1/2)-1)/(-24) // * m^1

1 = ((721^(1/2)-1)/(-24))*m^1 // : (721^(1/2)-1)/(-24)

-24*(721^(1/2)-1)^-1 = m^1

m = -24*(721^(1/2)-1)^-1

t_1 = (721^(1/2)+1)/24

m^-1-((721^(1/2)+1)/24) = 0

1*m^-1 = (721^(1/2)+1)/24 // : 1

m^-1 = (721^(1/2)+1)/24

-1 < 0

1/(m^1) = (721^(1/2)+1)/24 // * m^1

1 = ((721^(1/2)+1)/24)*m^1 // : (721^(1/2)+1)/24

24*(721^(1/2)+1)^-1 = m^1

m = 24*(721^(1/2)+1)^-1

m in { -24*(721^(1/2)-1)^-1, 24*(721^(1/2)+1)^-1 }

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