X^2-100/x^2=-21

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Solution for X^2-100/x^2=-21 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)) = -21 // + 21

X^2-(100/(x^2))+21 = 0

X^2-100*x^-2+21 = 0

-100*x^-2 = -(X^2+21) // : -100

x^-2 = (X^2+21)/100

-2 < 0

1/(x^2) = (X^2+21)/100 // * x^2

1 = x^2*((X^2+21)/100) // : (X^2+21)/100

100*(X^2+21)^-1 = x^2

x^2 = 100*(X^2+21)^-1 // ^ 1/2

abs(x) = 10*(X^2+21)^(-1/2)

x = 10*(X^2+21)^(-1/2) or x = -(10*(X^2+21)^(-1/2))

x in { 10*(X^2+21)^(-1/2), -(10*(X^2+21)^(-1/2)) }

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