2x-4/2x-12=x-5/x

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Solution for 2x-4/2x-12=x-5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-((4/2)*x)-12 = x-(5/x) // - x-(5/x)

2*x-((4/2)*x)-x+5/x-12 = 0

2*x-2*x-x+5/x-12 = 0

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

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

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

x^1

5-x^2-12*x = 0

5-x^2-12*x = 0

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

DELTA = 164

DELTA > 0

x = (164^(1/2)+12)/(-1*2) or x = (12-164^(1/2))/(-1*2)

x = (2*41^(1/2)+12)/(-2) or x = (12-2*41^(1/2))/(-2)

x in { (2*41^(1/2)+12)/(-2), (12-2*41^(1/2))/(-2)} 

x in { (2*41^(1/2)+12)/(-2), (12-2*41^(1/2))/(-2) }

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