(1/x)+(70/(x^2))=3

Solution for (1/x)+(70/(x^2))=3 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+70/(x^2) = 3 // - 3

1/x+70/(x^2)-3 = 0

x^-1+70*x^-2-3 = 0

t_1 = x^-1

70*t_1^2+1*t_1^1-3 = 0

70*t_1^2+t_1-3 = 0

DELTA = 1^2-(-3*4*70)

DELTA = 841

DELTA > 0

t_1 = (841^(1/2)-1)/(2*70) or t_1 = (-841^(1/2)-1)/(2*70)

t_1 = 1/5 or t_1 = -3/14

t_1 = -3/14

x^-1+3/14 = 0

1*x^-1 = -3/14 // : 1

x^-1 = -3/14

-1 < 0

1/(x^1) = -3/14 // * x^1

1 = -3/14*x^1 // : -3/14

-14/3 = x^1

x = -14/3

t_1 = 1/5

x^-1-1/5 = 0

1*x^-1 = 1/5 // : 1

x^-1 = 1/5

-1 < 0

1/(x^1) = 1/5 // * x^1

1 = 1/5*x^1 // : 1/5

5 = x^1

x = 5

x in { -14/3, 5 }