1/x+1-7/x^2-1+8/x-1

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Solution for 1/x+1-7/x^2-1+8/x-1 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/x+8/x-(7/(x^2))-1-1+1 = 0

1/x+8/x-7*x^-2-1-1+1 = 0

9*x^-1-7*x^-2-1 = 0

t_1 = x^-1

9*t_1^1-7*t_1^2-1 = 0

9*t_1-7*t_1^2-1 = 0

DELTA = 9^2-(-7*(-1)*4)

DELTA = 53

DELTA > 0

t_1 = (53^(1/2)-9)/(-7*2) or t_1 = (-53^(1/2)-9)/(-7*2)

t_1 = (53^(1/2)-9)/(-14) or t_1 = (53^(1/2)+9)/14

t_1 = (53^(1/2)-9)/(-14)

x^-1-((53^(1/2)-9)/(-14)) = 0

1*x^-1 = (53^(1/2)-9)/(-14) // : 1

x^-1 = (53^(1/2)-9)/(-14)

-1 < 0

1/(x^1) = (53^(1/2)-9)/(-14) // * x^1

1 = ((53^(1/2)-9)/(-14))*x^1 // : (53^(1/2)-9)/(-14)

-14*(53^(1/2)-9)^-1 = x^1

x = -14*(53^(1/2)-9)^-1

t_1 = (53^(1/2)+9)/14

x^-1-((53^(1/2)+9)/14) = 0

1*x^-1 = (53^(1/2)+9)/14 // : 1

x^-1 = (53^(1/2)+9)/14

-1 < 0

1/(x^1) = (53^(1/2)+9)/14 // * x^1

1 = ((53^(1/2)+9)/14)*x^1 // : (53^(1/2)+9)/14

14*(53^(1/2)+9)^-1 = x^1

x = 14*(53^(1/2)+9)^-1

x in { -14*(53^(1/2)-9)^-1, 14*(53^(1/2)+9)^-1 }

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