2/x+6=4/2x+1

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Solution for 2/x+6=4/2x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

2/x-2*x-1+6 = 0

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

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

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

x^1

5*x-2*x^2+2 = 0

5*x-2*x^2+2 = 0

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

DELTA = 41

DELTA > 0

x = (41^(1/2)-5)/(-2*2) or x = (-41^(1/2)-5)/(-2*2)

x = (41^(1/2)-5)/(-4) or x = (41^(1/2)+5)/4

x in { (41^(1/2)-5)/(-4), (41^(1/2)+5)/4} 

x in { (41^(1/2)-5)/(-4), (41^(1/2)+5)/4 }

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