5^2/x^2=4/12

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Solution for 5^2/x^2=4/12 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)

(5^2)/(x^2) = 4/12 // - 4/12

(5^2)/(x^2)-(4/12) = 0

(5^2)/(x^2)-1/3 = 0

25*x^-2 = 1/3 // : 25

x^-2 = 1/75

-2 < 0

1/(x^2) = 1/75 // * x^2

1 = 1/75*x^2 // : 1/75

75 = x^2

x^2 = 75 // ^ 1/2

abs(x) = 5*3^(1/2)

x = 5*3^(1/2) or x = -(5*3^(1/2))

x in { 5*3^(1/2), -(5*3^(1/2)) }

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