-2/x+6/4x=-3

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Solution for -2/x+6/4x=-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

(6/4)*x-2/x = -3 // + 3

(6/4)*x-2/x+3 = 0

3/2*x^1-2*x^-1+3*x^0 = 0

(3/2*x^2+3*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(3/2*x^2+3*x^1-2*x^0) = 0

x^1

(3/2)*x^2+3*x-2 = 0

(3/2)*x^2+3*x-2 = 0

DELTA = 3^2-(-2*4*(3/2))

DELTA = 21

DELTA > 0

x = (21^(1/2)-3)/(2*(3/2)) or x = (-21^(1/2)-3)/(2*(3/2))

x = (21^(1/2)-3)/3 or x = (-(21^(1/2)+3))/3

x in { (-(21^(1/2)+3))/3, (21^(1/2)-3)/3} 

x in { (-(21^(1/2)+3))/3, (21^(1/2)-3)/3 }

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