(1/x)=(4/x)-1

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Solution for (1/x)=(4/x)-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x = 4/x-1 // - 4/x-1

1/x-(4/x)+1 = 0

1/x-4*x^-1+1 = 0

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

x^-1 = 1/3

-1 < 0

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

1 = 1/3*x^1 // : 1/3

3 = x^1

x = 3

x = 3

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