1-9/x-22/x^2=0

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Solution for 1-9/x-22/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)

1-(9/x)-(22/(x^2)) = 0

1-9*x^-1-22*x^-2 = 0

t_1 = x^-1

1-22*t_1^2-9*t_1^1 = 0

1-22*t_1^2-9*t_1 = 0

DELTA = (-9)^2-(-22*1*4)

DELTA = 169

DELTA > 0

t_1 = (169^(1/2)+9)/(-22*2) or t_1 = (9-169^(1/2))/(-22*2)

t_1 = -1/2 or t_1 = 1/11

t_1 = -1/2

x^-1+1/2 = 0

1*x^-1 = -1/2 // : 1

x^-1 = -1/2

-1 < 0

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

1 = -1/2*x^1 // : -1/2

-2 = x^1

x = -2

t_1 = 1/11

x^-1-1/11 = 0

1*x^-1 = 1/11 // : 1

x^-1 = 1/11

-1 < 0

1/(x^1) = 1/11 // * x^1

1 = 1/11*x^1 // : 1/11

11 = x^1

x = 11

x in { -2, 11 }

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