1.5x=12/x

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Solution for 1.5x=12/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

1.5*x = 12/x // - 12/x

1.5*x-(12/x) = 0

1.5*x-12*x^-1 = 0

1.5*x-12*x^-1 = 0

x^-1*(1.5*x^2-12) = 0

1.5*x^2 = 12 // : 1.5

x^2 = 8

x^2 = 8 // ^ 1/2

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

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

1/x = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

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

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