1/x^2+8/x+15=0

Solution for 1/x^2+8/x+15=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)

8/x+1/(x^2)+15 = 0

8*x^-1+x^-2+15 = 0

t_1 = x^-1

1*t_1^2+8*t_1^1+15 = 0

t_1^2+8*t_1+15 = 0

DELTA = 8^2-(1*4*15)

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)-8)/(1*2) or t_1 = (-4^(1/2)-8)/(1*2)

t_1 = -3 or t_1 = -5

t_1 = -5

x^-1+5 = 0

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

x^-1 = -5

-1 < 0

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

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

-1/5 = x^1

x = -1/5

t_1 = -3

x^-1+3 = 0

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

x^-1 = -3

-1 < 0

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

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

-1/3 = x^1

x = -1/3

x in { -1/5, -1/3 }