7-(1/X)-(7/X^2)=0

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Solution for 7-(1/X)-(7/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)-(7/(X^2)) = 0

7-X^-1-7*X^-2 = 0

t_1 = X^-1

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

7-7*t_1^2-t_1 = 0

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

DELTA = 197

DELTA > 0

t_1 = (197^(1/2)+1)/(-7*2) or t_1 = (1-197^(1/2))/(-7*2)

t_1 = (197^(1/2)+1)/(-14) or t_1 = (1-197^(1/2))/(-14)

t_1 = (197^(1/2)+1)/(-14)

X^-1-((197^(1/2)+1)/(-14)) = 0

1*X^-1 = (197^(1/2)+1)/(-14) // : 1

X^-1 = (197^(1/2)+1)/(-14)

-1 < 0

1/(X^1) = (197^(1/2)+1)/(-14) // * X^1

1 = ((197^(1/2)+1)/(-14))*X^1 // : (197^(1/2)+1)/(-14)

-14*(197^(1/2)+1)^-1 = X^1

X = -14*(197^(1/2)+1)^-1

t_1 = (1-197^(1/2))/(-14)

X^-1-((1-197^(1/2))/(-14)) = 0

1*X^-1 = (1-197^(1/2))/(-14) // : 1

X^-1 = (1-197^(1/2))/(-14)

-1 < 0

1/(X^1) = (1-197^(1/2))/(-14) // * X^1

1 = ((1-197^(1/2))/(-14))*X^1 // : (1-197^(1/2))/(-14)

-14*(1-197^(1/2))^-1 = X^1

X = -14*(1-197^(1/2))^-1

X in { -14*(197^(1/2)+1)^-1, -14*(1-197^(1/2))^-1 }

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