(41x/x-1)+(82/x^2-1)(41x/x+1)

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Solution for (41x/x-1)+(82/x^2-1)(41x/x+1) 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)

(82/(x^2)-1)*((41*x)/x+1)+(41*x)/x-1 = 0

42*(82*x^-2-1)-1+41 = 0

42*(82*x^-2-1)-1+41 = 0

3444*x^-2-1-1 = 0

3444*x^-2-2 = 0

3444*x^-2-2 = 0

3444*x^-2 = 2 // : 3444

x^-2 = 1/1722

-2 < 0

1/(x^2) = 1/1722 // * x^2

1 = 1/1722*x^2 // : 1/1722

1722 = x^2

x^2 = 1722 // ^ 1/2

abs(x) = 1722^(1/2)

x = 1722^(1/2) or x = -1722^(1/2)

x in { 1722^(1/2), -1722^(1/2) }

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