3x-2/2x-1=x-10/x-8

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Solution for 3x-2/2x-1=x-10/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-((2/2)*x)-1 = x-(10/x)-8 // - x-(10/x)-8

3*x-((2/2)*x)-x+10/x-1+8 = 0

3*x-x-x+10/x-1+8 = 0

1*x^1+10*x^-1+7*x^0 = 0

(1*x^2+7*x^1+10*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+7*x^1+10*x^0) = 0

x^1

x^2+7*x+10 = 0

x^2+7*x+10 = 0

DELTA = 7^2-(1*4*10)

DELTA = 9

DELTA > 0

x = (9^(1/2)-7)/(1*2) or x = (-9^(1/2)-7)/(1*2)

x = -2 or x = -5

x in { -5, -2} 

x in { -5, -2 }

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