3/2X-3=2/X-5

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Solution for 3/2X-3=2/X-5 equation: 


D( X )

X = 0

X = 0

X = 0

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

(3/2)*X-3 = 2/X-5 // - 2/X-5

(3/2)*X-(2/X)-3+5 = 0

(3/2)*X-2*X^-1-3+5 = 0

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

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

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

X^1

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

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

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

DELTA = 16

DELTA > 0

X = (16^(1/2)-2)/(2*(3/2)) or X = (-16^(1/2)-2)/(2*(3/2))

X = 2/3 or X = -2

X in { -2, 2/3} 

X in { -2, 2/3 }

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