2x/(x-1)-((5x-1)/3)

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Solution for 2x/(x-1)-((5x-1)/3) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

(2*x)/(x-1)-((5*x-1)/3) = 0

(2*x)/(x-1)+(-1*(5*x-1))/3 = 0

(2*3*x)/(3*(x-1))+(-1*(5*x-1)*(x-1))/(3*(x-1)) = 0

2*3*x-1*(5*x-1)*(x-1) = 0

12*x-5*x^2-1 = 0

12*x-5*x^2-1 = 0

12*x-5*x^2-1 = 0

DELTA = 12^2-(-5*(-1)*4)

DELTA = 124

DELTA > 0

x = (124^(1/2)-12)/(-5*2) or x = (-124^(1/2)-12)/(-5*2)

x = (2*31^(1/2)-12)/(-10) or x = (-2*31^(1/2)-12)/(-10)

(x-((2*31^(1/2)-12)/(-10)))*(x-((-2*31^(1/2)-12)/(-10))) = 0

((x-((2*31^(1/2)-12)/(-10)))*(x-((-2*31^(1/2)-12)/(-10))))/(3*(x-1)) = 0

((x-((2*31^(1/2)-12)/(-10)))*(x-((-2*31^(1/2)-12)/(-10))))/(3*(x-1)) = 0 // * 3*(x-1)

(x-((2*31^(1/2)-12)/(-10)))*(x-((-2*31^(1/2)-12)/(-10))) = 0

( x-((-2*31^(1/2)-12)/(-10)) )

x-((-2*31^(1/2)-12)/(-10)) = 0 // + (-2*31^(1/2)-12)/(-10)

x = (-2*31^(1/2)-12)/(-10)

( x-((2*31^(1/2)-12)/(-10)) )

x-((2*31^(1/2)-12)/(-10)) = 0 // + (2*31^(1/2)-12)/(-10)

x = (2*31^(1/2)-12)/(-10)

x in { (-2*31^(1/2)-12)/(-10), (2*31^(1/2)-12)/(-10) }

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