x+1/x-3-3/5=4/x-3

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Solution for x+1/x-3-3/5=4/x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+1/x-(3/5)-3 = 4/x-3 // - 4/x-3

x+1/x-(4/x)-(3/5)-3+3 = 0

x+1/x-4*x^-1-3/5-3+3 = 0

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

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

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

x^1

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

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

DELTA = (-3/5)^2-(-3*1*4)

DELTA = 309/25

DELTA > 0

x = ((309/25)^(1/2)-(-3/5))/(1*2) or x = (-(-3/5)-(309/25)^(1/2))/(1*2)

x = ((309/25)^(1/2)+3/5)/2 or x = (3/5-(309/25)^(1/2))/2

x in { (3/5-(309/25)^(1/2))/2, ((309/25)^(1/2)+3/5)/2} 

x in { (3/5-(309/25)^(1/2))/2, ((309/25)^(1/2)+3/5)/2 }

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