4x-8/x-2=4

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


D( x )

x = 0

x = 0

x = 0

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

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

4*x-(8/x)-4-2 = 0

4*x-8*x^-1-4-2 = 0

4*x^1-8*x^-1-6*x^0 = 0

(4*x^2-6*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-6*x^1-8*x^0) = 0

x^1

4*x^2-6*x-8 = 0

4*x^2-6*x-8 = 0

DELTA = (-6)^2-(-8*4*4)

DELTA = 164

DELTA > 0

x = (164^(1/2)+6)/(2*4) or x = (6-164^(1/2))/(2*4)

x = (2*41^(1/2)+6)/8 or x = (6-2*41^(1/2))/8

x in { (6-2*41^(1/2))/8, (2*41^(1/2)+6)/8} 

x in { (6-2*41^(1/2))/8, (2*41^(1/2)+6)/8 }

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