(3/x^2)-(7/x)+2

Solution for (3/x^2)-(7/x)+2 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)

3/(x^2)-(7/x)+2 = 0

3/(x^2)-7*x^-1+2 = 0

3*x^-2-7*x^-1+2 = 0

t_1 = x^-1

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

3*t_1^2-7*t_1+2 = 0

DELTA = (-7)^2-(2*3*4)

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)+7)/(2*3) or t_1 = (7-25^(1/2))/(2*3)

t_1 = 2 or t_1 = 1/3

t_1 = 1/3

x^-1-1/3 = 0

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

x^-1 = 1/3

-1 < 0

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

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

3 = x^1

x = 3

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

x in { 3, 1/2 }