30x-11=(30/x)

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Solution for 30x-11=(30/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

30*x-11 = 30/x // - 30/x

30*x-(30/x)-11 = 0

30*x-30*x^-1-11 = 0

30*x^1-30*x^-1-11*x^0 = 0

(30*x^2-11*x^1-30*x^0)/(x^1) = 0 // * x^2

x^1*(30*x^2-11*x^1-30*x^0) = 0

x^1

30*x^2-11*x-30 = 0

30*x^2-11*x-30 = 0

DELTA = (-11)^2-(-30*4*30)

DELTA = 3721

DELTA > 0

x = (3721^(1/2)+11)/(2*30) or x = (11-3721^(1/2))/(2*30)

x = 6/5 or x = -5/6

x in { -5/6, 6/5} 

x in { -5/6, 6/5 }

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