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

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Solution for 1-(11/x)+(30/x^2)=0 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

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

30*x^-2-11*x^-1+1 = 0

t_1 = x^-1

30*t_1^2-11*t_1^1+1 = 0

30*t_1^2-11*t_1+1 = 0

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

DELTA = 1

DELTA > 0

t_1 = (1^(1/2)+11)/(2*30) or t_1 = (11-1^(1/2))/(2*30)

t_1 = 1/5 or t_1 = 1/6

t_1 = 1/6

x^-1-1/6 = 0

1*x^-1 = 1/6 // : 1

x^-1 = 1/6

-1 < 0

1/(x^1) = 1/6 // * x^1

1 = 1/6*x^1 // : 1/6

6 = x^1

x = 6

t_1 = 1/5

x^-1-1/5 = 0

1*x^-1 = 1/5 // : 1

x^-1 = 1/5

-1 < 0

1/(x^1) = 1/5 // * x^1

1 = 1/5*x^1 // : 1/5

5 = x^1

x = 5

x in { 6, 5 }

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