x^-2-5/x-14=0

Solution for x^-2-5/x-14=0 equation:

D( x )

x = 0

x = 0

x = 0

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

x^-2-(5/x)-14 = 0

x^-2-5*x^-1-14 = 0

t_1 = x^-1

1*t_1^2-5*t_1^1-14 = 0

t_1^2-5*t_1-14 = 0

DELTA = (-5)^2-(-14*1*4)

DELTA = 81

DELTA > 0

t_1 = (81^(1/2)+5)/(1*2) or t_1 = (5-81^(1/2))/(1*2)

t_1 = 7 or t_1 = -2

t_1 = -2

x^-1+2 = 0

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

x^-1 = -2

-1 < 0

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

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

-1/2 = x^1

x = -1/2

t_1 = 7

x^-1-7 = 0

1*x^-1 = 7 // : 1

x^-1 = 7

-1 < 0

1/(x^1) = 7 // * x^1

1 = 7*x^1 // : 7

1/7 = x^1

x = 1/7

x in { -1/2, 1/7 }