5x-2/x-3=0

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Solution for 5x-2/x-3=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(2*5) or x = (3-49^(1/2))/(2*5)

x = 1 or x = -2/5

x in { -2/5, 1} 

x in { -2/5, 1 }

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