7/3x=3/x-2

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Solution for 7/3x=3/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

(7/3)*x = 3/x-2 // - 3/x-2

(7/3)*x-(3/x)+2 = 0

(7/3)*x-3*x^-1+2 = 0

7/3*x^1-3*x^-1+2*x^0 = 0

(7/3*x^2+2*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(7/3*x^2+2*x^1-3*x^0) = 0

x^1

(7/3)*x^2+2*x-3 = 0

(7/3)*x^2+2*x-3 = 0

DELTA = 2^2-(-3*4*(7/3))

DELTA = 32

DELTA > 0

x = (32^(1/2)-2)/(2*(7/3)) or x = (-32^(1/2)-2)/(2*(7/3))

x = 3/14*(4*2^(1/2)-2) or x = 3/14*(-4*2^(1/2)-2)

x in { 3/14*(-4*2^(1/2)-2), 3/14*(4*2^(1/2)-2)} 

x in { 3/14*(-4*2^(1/2)-2), 3/14*(4*2^(1/2)-2) }

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