2x-4/24=42/x-8

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Solution for 2x-4/24=42/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(4/24) = 42/x-8 // - 42/x-8

2*x-(42/x)-(4/24)+8 = 0

2*x-42*x^-1-1/6+8 = 0

2*x^1-42*x^-1+47/6*x^0 = 0

(2*x^2+47/6*x^1-42*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+47/6*x^1-42*x^0) = 0

x^1

2*x^2+(47/6)*x-42 = 0

2*x^2+(47/6)*x-42 = 0

DELTA = (47/6)^2-(-42*2*4)

DELTA = 14305/36

DELTA > 0

x = ((14305/36)^(1/2)-(47/6))/(2*2) or x = (-(47/6)-(14305/36)^(1/2))/(2*2)

x = ((14305/36)^(1/2)-47/6)/4 or x = (-((14305/36)^(1/2)+47/6))/4

x in { (-((14305/36)^(1/2)+47/6))/4, ((14305/36)^(1/2)-47/6)/4} 

x in { (-((14305/36)^(1/2)+47/6))/4, ((14305/36)^(1/2)-47/6)/4 }

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