(120)/(x^2)=6

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Solution for (120)/(x^2)=6 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)

120/(x^2) = 6 // - 6

120/(x^2)-6 = 0

120*x^-2 = 6 // : 120

x^-2 = 1/20

-2 < 0

1/(x^2) = 1/20 // * x^2

1 = 1/20*x^2 // : 1/20

20 = x^2

x^2 = 20 // ^ 1/2

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

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

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

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