3/x2-9-7/x-3=-4/x+3

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Solution for 3/x2-9-7/x-3=-4/x+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)

3/(x^2)-(7/x)-9-3 = 3-4/x // - 3-4/x

3/(x^2)-(7/x)-(-4/x)-9-3-3 = 0

4*x^-1-7*x^-1+3/(x^2)-9-3-3 = 0

3*x^-2-3*x^-1-15 = 0

t_1 = x^-1

3*t_1^2-3*t_1^1-15 = 0

3*t_1^2-3*t_1-15 = 0

DELTA = (-3)^2-(-15*3*4)

DELTA = 189

DELTA > 0

t_1 = (189^(1/2)+3)/(2*3) or t_1 = (3-189^(1/2))/(2*3)

t_1 = (3*21^(1/2)+3)/6 or t_1 = (3-3*21^(1/2))/6

t_1 = (3-3*21^(1/2))/6

x^-1-((3-3*21^(1/2))/6) = 0

1*x^-1 = (3-3*21^(1/2))/6 // : 1

x^-1 = (3-3*21^(1/2))/6

-1 < 0

1/(x^1) = (3-3*21^(1/2))/6 // * x^1

1 = ((3-3*21^(1/2))/6)*x^1 // : (3-3*21^(1/2))/6

6*(3-3*21^(1/2))^-1 = x^1

x = 6*(3-3*21^(1/2))^-1

t_1 = (3*21^(1/2)+3)/6

x^-1-((3*21^(1/2)+3)/6) = 0

1*x^-1 = (3*21^(1/2)+3)/6 // : 1

x^-1 = (3*21^(1/2)+3)/6

-1 < 0

1/(x^1) = (3*21^(1/2)+3)/6 // * x^1

1 = ((3*21^(1/2)+3)/6)*x^1 // : (3*21^(1/2)+3)/6

6*(3*21^(1/2)+3)^-1 = x^1

x = 6*(3*21^(1/2)+3)^-1

x in { 6*(3-3*21^(1/2))^-1, 6*(3*21^(1/2)+3)^-1 }

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