5x=3/x-2

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 64

DELTA > 0

x = (64^(1/2)-2)/(2*5) or x = (-64^(1/2)-2)/(2*5)

x = 3/5 or x = -1

x in { -1, 3/5} 

x in { -1, 3/5 }

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