6/x+x/2=4

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


D( x )

x = 0

x = 0

x = 0

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

x/2+6/x = 4 // - 4

x/2+6/x-4 = 0

1/2*x^1+6*x^-1-4*x^0 = 0

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

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

x^1

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

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

DELTA = (-4)^2-(4*6*(1/2))

DELTA = 4

DELTA > 0

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

x = 6 or x = 2

x in { 2, 6} 

x in { 2, 6 }

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