2/n=15/n^2-1

Solution for 2/n=15/n^2-1 equation:

D( n )

n = 0

n^2 = 0

n = 0

n = 0

n^2 = 0

n^2 = 0

1*n^2 = 0 // : 1

n^2 = 0

n = 0

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

2/n = 15/(n^2)-1 // - 15/(n^2)-1

2/n-(15/(n^2))+1 = 0

2/n-15*n^-2+1 = 0

2*n^-1-15*n^-2+1 = 0

t_1 = n^-1

2*t_1^1-15*t_1^2+1 = 0

2*t_1-15*t_1^2+1 = 0

DELTA = 2^2-(-15*1*4)

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)-2)/(-15*2) or t_1 = (-64^(1/2)-2)/(-15*2)

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

t_1 = -1/5

n^-1+1/5 = 0

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

n^-1 = -1/5

-1 < 0

1/(n^1) = -1/5 // * n^1

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

-5 = n^1

n = -5

t_1 = 1/3

n^-1-1/3 = 0

1*n^-1 = 1/3 // : 1

n^-1 = 1/3

-1 < 0

1/(n^1) = 1/3 // * n^1

1 = 1/3*n^1 // : 1/3

3 = n^1

n = 3

n in { -5, 3 }