x^2-64/x^2

Solution for x^2-64/x^2 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)

x^2-(64/(x^2)) = 0

x^2-64*x^-2 = 0

t_1 = x^2

1*t_1^1-64*t_1^-1 = 0

1*t_1^1-64*t_1^-1 = 0

(1*t_1^2-64*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(1*t_1^2-64*t_1^0) = 0

t_1^1

t_1^2-64 = 0

t_1^2-64 = 0

DELTA = 0^2-(-64*1*4)

DELTA = 256

DELTA > 0

t_1 = (256^(1/2)+0)/(1*2) or t_1 = (0-256^(1/2))/(1*2)

t_1 = 8 or t_1 = -8

t_1 in { -8, 8} 

t_1 = -8

x^2+8 = 0

1*x^2 = -8 // : 1

x^2 = -8

t_1 = 8

x^2-8 = 0

1*x^2 = 8 // : 1

x^2 = 8

x^2 = 8 // ^ 1/2

abs(x) = 2*2^(1/2)

x = 2*2^(1/2) or x = -(2*2^(1/2))

x in { 2*2^(1/2), -(2*2^(1/2)) }