6x-4/x=5

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Solution for 6x-4/x=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-(4/x) = 5 // - 5

6*x-(4/x)-5 = 0

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

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

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

x^1*(6*x^2-5*x^1-4*x^0) = 0

x^1

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

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

DELTA = (-5)^2-(-4*4*6)

DELTA = 121

DELTA > 0

x = (121^(1/2)+5)/(2*6) or x = (5-121^(1/2))/(2*6)

x = 4/3 or x = -1/2

x in { -1/2, 4/3} 

x in { -1/2, 4/3 }

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