X^2-100/x^2

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Solution for X^2-100/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-(100/(x^2)) = 0

X^2-100*x^-2 = 0

-100*x^-2 = -X^2 // : -100

x^-2 = (X^2)/100

-2 < 0

1/(x^2) = (X^2)/100 // * x^2

1 = ((X^2)/100)*x^2 // : (X^2)/100

100*X^-2 = x^2

x^2 = 100*X^-2 // ^ 1/2

abs(x) = 10*X^-1

x = 10*X^-1 or x = -(10*X^-1)

x in { 10*X^-1, -(10*X^-1) }

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