5(1/x^2)=500

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Solution for 5(1/x^2)=500 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)

5*(1/(x^2)) = 500 // - 500

5*(1/(x^2))-500 = 0

5*x^-2 = 500 // : 5

x^-2 = 100

-2 < 0

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

1 = 100*x^2 // : 100

1/100 = x^2

x^2 = 1/100 // ^ 1/2

abs(x) = 1/10

x = 1/10 or x = -1/10

x in { 1/10, -1/10 }

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