2x-5/x-4=11/x-4

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Solution for 2x-5/x-4=11/x-4 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(5/x)-4 = 11/x-4 // - 11/x-4

2*x-(5/x)-(11/x)-4+4 = 0

2*x-5*x^-1-11*x^-1-4+4 = 0

2*x^1-16*x^-1 = 0

(2*x^2-16*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-16*x^0) = 0

x^1

2*x^2-16 = 0

2*x^2-16 = 0

DELTA = 0^2-(-16*2*4)

DELTA = 128

DELTA > 0

x = (128^(1/2)+0)/(2*2) or x = (0-128^(1/2))/(2*2)

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

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

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

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