18/x^2-3/2=0

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Solution for 18/x^2-3/2=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)

18/(x^2)-(3/2) = 0

18/(x^2)-3/2 = 0

18*x^-2 = 3/2 // : 18

x^-2 = 1/12

-2 < 0

1/(x^2) = 1/12 // * x^2

1 = 1/12*x^2 // : 1/12

12 = x^2

x^2 = 12 // ^ 1/2

abs(x) = 2*3^(1/2)

x = 2*3^(1/2) or x = -(2*3^(1/2))

x in { 2*3^(1/2), -(2*3^(1/2)) }

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