3x^2-(525/x^2)-54=0

Solution for 3x^2-(525/x^2)-54=0 equation:

D( x )

x^2 = 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-(525/(x^2))-54 = 0

3*x^2-525*x^-2-54 = 0

t_1 = x^2

3*t_1^1-525*t_1^-1-54 = 0

3*t_1^1-525*t_1^-1-54*t_1^0 = 0

(3*t_1^2-54*t_1^1-525*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(3*t_1^2-54*t_1^1-525*t_1^0) = 0

t_1^1

3*t_1^2-54*t_1-525 = 0

3*t_1^2-54*t_1-525 = 0

DELTA = (-54)^2-(-525*3*4)

DELTA = 9216

DELTA > 0

t_1 = (9216^(1/2)+54)/(2*3) or t_1 = (54-9216^(1/2))/(2*3)

t_1 = 25 or t_1 = -7

t_1 in { -7, 25} 

t_1 = -7

x^2+7 = 0

1*x^2 = -7 // : 1

x^2 = -7

t_1 = 25

x^2-25 = 0

1*x^2 = 25 // : 1

x^2 = 25

x^2 = 25 // ^ 1/2

abs(x) = 5

x = 5 or x = -5

x in { 5, -5 }