x-1/x=11/30

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Solution for x-1/x=11/30 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(1/x) = 11/30 // - 11/30

x-(1/x)-(11/30) = 0

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

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

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

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

x^1

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

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

DELTA = (-11/30)^2-(-1*1*4)

DELTA = 3721/900

DELTA > 0

x = ((3721/900)^(1/2)-(-11/30))/(1*2) or x = (-(-11/30)-(3721/900)^(1/2))/(1*2)

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

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

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

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