x-(5/x+3)=1

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

1*x^1-5*x^-1-4*x^0 = 0

(1*x^2-4*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-4*x^1-5*x^0) = 0

x^1

x^2-4*x-5 = 0

x^2-4*x-5 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+4)/(1*2) or x = (4-36^(1/2))/(1*2)

x = 5 or x = -1

x in { -1, 5} 

x in { -1, 5 }

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