x-25/x-1+25/x+1=x+14/x^2-1

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Solution for x-25/x-1+25/x+1=x+14/x^2-1 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)

x-(25/x)+25/x-1+1 = x+14/(x^2)-1 // - x+14/(x^2)-1

x-x-(25/x)+25/x-(14/(x^2))-1+1+1 = 0

x-x-25*x^-1+25/x-14*x^-2-1+1+1 = 0

-14*x^-2 = -1 // : -14

x^-2 = 1/14

-2 < 0

1/(x^2) = 1/14 // * x^2

1 = 1/14*x^2 // : 1/14

14 = x^2

x^2 = 14 // ^ 1/2

abs(x) = 14^(1/2)

x = 14^(1/2) or x = -14^(1/2)

x in { 14^(1/2), -14^(1/2) }

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