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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

x-2*x^-1-3/5-1 = 0

1*x^1-2*x^-1-8/5*x^0 = 0

(1*x^2-8/5*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-8/5*x^1-2*x^0) = 0

x^1

x^2+(-8/5)*x-2 = 0

x^2+(-8/5)*x-2 = 0

DELTA = (-8/5)^2-(-2*1*4)

DELTA = 264/25

DELTA > 0

x = ((264/25)^(1/2)-(-8/5))/(1*2) or x = (-(-8/5)-(264/25)^(1/2))/(1*2)

x = ((264/25)^(1/2)+8/5)/2 or x = (8/5-(264/25)^(1/2))/2

x in { (8/5-(264/25)^(1/2))/2, ((264/25)^(1/2)+8/5)/2}

x in { (8/5-(264/25)^(1/2))/2, ((264/25)^(1/2)+8/5)/2 }

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