2x-5=3/x

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


D( x )

x = 0

x = 0

x = 0

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

2*x-5 = 3/x // - 3/x

2*x-(3/x)-5 = 0

2*x-3*x^-1-5 = 0

2*x^1-3*x^-1-5*x^0 = 0

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

x^1*(2*x^2-5*x^1-3*x^0) = 0

x^1

2*x^2-5*x-3 = 0

2*x^2-5*x-3 = 0

DELTA = (-5)^2-(-3*2*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(2*2) or x = (5-49^(1/2))/(2*2)

x = 3 or x = -1/2

x in { -1/2, 3} 

x in { -1/2, 3 }

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