7-(1/x)-(4/x^2)=0

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Solution for 7-(1/x)-(4/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)

7-(1/x)-(4/(x^2)) = 0

7-x^-1-4*x^-2 = 0

t_1 = x^-1

7-4*t_1^2-1*t_1^1 = 0

7-4*t_1^2-t_1 = 0

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

DELTA = 113

DELTA > 0

t_1 = (113^(1/2)+1)/(-4*2) or t_1 = (1-113^(1/2))/(-4*2)

t_1 = (113^(1/2)+1)/(-8) or t_1 = (1-113^(1/2))/(-8)

t_1 = (113^(1/2)+1)/(-8)

x^-1-((113^(1/2)+1)/(-8)) = 0

1*x^-1 = (113^(1/2)+1)/(-8) // : 1

x^-1 = (113^(1/2)+1)/(-8)

-1 < 0

1/(x^1) = (113^(1/2)+1)/(-8) // * x^1

1 = ((113^(1/2)+1)/(-8))*x^1 // : (113^(1/2)+1)/(-8)

-8*(113^(1/2)+1)^-1 = x^1

x = -8*(113^(1/2)+1)^-1

t_1 = (1-113^(1/2))/(-8)

x^-1-((1-113^(1/2))/(-8)) = 0

1*x^-1 = (1-113^(1/2))/(-8) // : 1

x^-1 = (1-113^(1/2))/(-8)

-1 < 0

1/(x^1) = (1-113^(1/2))/(-8) // * x^1

1 = ((1-113^(1/2))/(-8))*x^1 // : (1-113^(1/2))/(-8)

-8*(1-113^(1/2))^-1 = x^1

x = -8*(1-113^(1/2))^-1

x in { -8*(113^(1/2)+1)^-1, -8*(1-113^(1/2))^-1 }

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