x-(30/x)=-1

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Solution for x-(30/x)=-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

x-(30/x)+1 = 0

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

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

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

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

x^1

x^2+x-30 = 0

x^2+x-30 = 0

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

DELTA = 121

DELTA > 0

x = (121^(1/2)-1)/(1*2) or x = (-121^(1/2)-1)/(1*2)

x = 5 or x = -6

x in { -6, 5} 

x in { -6, 5 }

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