1/x=1/x^2

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Solution for 1/x=1/x^2 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

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

1/x-x^-2 = 0

x^-1-x^-2 = 0

t_1 = x^-1

1*t_1^1-1*t_1^2 = 0

t_1-t_1^2 = 0

DELTA = 1^2-(-1*0*4)

DELTA = 1

DELTA > 0

t_1 = (1^(1/2)-1)/(-1*2) or t_1 = (-1^(1/2)-1)/(-1*2)

t_1 = 0 or t_1 = 1

t_1 = 0

x^-1+0 = 0

x^-1 = 0

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

x^-1 = 0

x należy do O

t_1 = 1

x^-1-1 = 0

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

x^-1 = 1

-1 < 0

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

1 = 1*x^1 // : 1

1 = x^1

x = 1

x = 1

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