1/4-100/x^2=0

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Solution for 1/4-100/x^2=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)

1/4-(100/(x^2)) = 0

1/4-100*x^-2 = 0

-100*x^-2 = -1/4 // : -100

x^-2 = 1/400

-2 < 0

1/(x^2) = 1/400 // * x^2

1 = 1/400*x^2 // : 1/400

400 = x^2

x^2 = 400 // ^ 1/2

abs(x) = 20

x = 20 or x = -20

x in { 20, -20 }

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