x^2-81/x^2

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Solution for x^2-81/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-(81/(x^2)) = 0

x^2-81*x^-2 = 0

t_1 = x^2

1*t_1^1-81*t_1^-1 = 0

1*t_1^1-81*t_1^-1 = 0

(1*t_1^2-81*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(1*t_1^2-81*t_1^0) = 0

t_1^1

t_1^2-81 = 0

t_1^2-81 = 0

DELTA = 0^2-(-81*1*4)

DELTA = 324

DELTA > 0

t_1 = (324^(1/2)+0)/(1*2) or t_1 = (0-324^(1/2))/(1*2)

t_1 = 9 or t_1 = -9

t_1 in { -9, 9} 

t_1 = -9

x^2+9 = 0

1*x^2 = -9 // : 1

x^2 = -9

t_1 = 9

x^2-9 = 0

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in { 3, -3 }

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