x-5/x-3=3/10

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Solution for x-5/x-3=3/10 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(5/x)-3 = 3/10 // - 3/10

x-(5/x)-(3/10)-3 = 0

x-5*x^-1-3/10-3 = 0

1*x^1-5*x^-1-33/10*x^0 = 0

(1*x^2-33/10*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-33/10*x^1-5*x^0) = 0

x^1

x^2+(-33/10)*x-5 = 0

x^2+(-33/10)*x-5 = 0

DELTA = (-33/10)^2-(-5*1*4)

DELTA = 3089/100

DELTA > 0

x = ((3089/100)^(1/2)-(-33/10))/(1*2) or x = (-(-33/10)-(3089/100)^(1/2))/(1*2)

x = ((3089/100)^(1/2)+33/10)/2 or x = (33/10-(3089/100)^(1/2))/2

x in { (33/10-(3089/100)^(1/2))/2, ((3089/100)^(1/2)+33/10)/2} 

x in { (33/10-(3089/100)^(1/2))/2, ((3089/100)^(1/2)+33/10)/2 }

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