(x-4/x-3)-(2-7x)

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Solution for (x-4/x-3)-(2-7x) equation: 


D( x )

x = 0

x = 0

x = 0

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

x+7*x-(4/x)-3-2 = 0

x+7*x-4*x^-1-3-2 = 0

8*x^1-4*x^-1-5*x^0 = 0

(8*x^2-5*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(8*x^2-5*x^1-4*x^0) = 0

x^1

8*x^2-5*x-4 = 0

8*x^2-5*x-4 = 0

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

DELTA = 153

DELTA > 0

x = (153^(1/2)+5)/(2*8) or x = (5-153^(1/2))/(2*8)

x = (3*17^(1/2)+5)/16 or x = (5-3*17^(1/2))/16

x in { (5-3*17^(1/2))/16, (3*17^(1/2)+5)/16} 

x in { (5-3*17^(1/2))/16, (3*17^(1/2)+5)/16 }

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