((2x-1)/(x+1))-(2x/(x-1))-(5/x)=0

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Solution for ((2x-1)/(x+1))-(2x/(x-1))-(5/x)=0 equation: 


D( x )

x = 0

x+1 = 0

x-1 = 0

x = 0

x = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:-1) U (-1:0) U (0:1) U (1:+oo)

(2*x-1)/(x+1)-((2*x)/(x-1))-(5/x) = 0

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

(2*x-1)/(x+1)+(-2*x)/(x-1)-5/x = 0

(x*(2*x-1)*(x-1))/(x*(x+1)*(x-1))+(-2*x*x*(x+1))/(x*(x+1)*(x-1))+(-5*(x+1)*(x-1))/(x*(x+1)*(x-1)) = 0

x*(2*x-1)*(x-1)-2*x*x*(x+1)-5*(x+1)*(x-1) = 0

x-5*x^2-5*x^2+5 = 0

x-10*x^2+5 = 0

x-10*x^2+5 = 0

x-10*x^2+5 = 0

DELTA = 1^2-(-10*4*5)

DELTA = 201

DELTA > 0

x = (201^(1/2)-1)/(-10*2) or x = (-201^(1/2)-1)/(-10*2)

x = (201^(1/2)-1)/(-20) or x = (201^(1/2)+1)/20

(x-((201^(1/2)-1)/(-20)))*(x-((201^(1/2)+1)/20)) = 0

((x-((201^(1/2)-1)/(-20)))*(x-((201^(1/2)+1)/20)))/(x*(x+1)*(x-1)) = 0

((x-((201^(1/2)-1)/(-20)))*(x-((201^(1/2)+1)/20)))/(x*(x+1)*(x-1)) = 0 // * x*(x+1)*(x-1)

(x-((201^(1/2)-1)/(-20)))*(x-((201^(1/2)+1)/20)) = 0

( x-((201^(1/2)+1)/20) )

x-((201^(1/2)+1)/20) = 0 // + (201^(1/2)+1)/20

x = (201^(1/2)+1)/20

( x-((201^(1/2)-1)/(-20)) )

x-((201^(1/2)-1)/(-20)) = 0 // + (201^(1/2)-1)/(-20)

x = (201^(1/2)-1)/(-20)

x in { (201^(1/2)+1)/20, (201^(1/2)-1)/(-20) }

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