(x-2/x)=5/7

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Solution for (x-2/x)=5/7 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(2/x) = 5/7 // - 5/7

x-(2/x)-(5/7) = 0

x-2*x^-1-5/7 = 0

1*x^1-2*x^-1-5/7*x^0 = 0

(1*x^2-5/7*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-5/7*x^1-2*x^0) = 0

x^1

x^2+(-5/7)*x-2 = 0

x^2+(-5/7)*x-2 = 0

DELTA = (-5/7)^2-(-2*1*4)

DELTA = 417/49

DELTA > 0

x = ((417/49)^(1/2)-(-5/7))/(1*2) or x = (-(-5/7)-(417/49)^(1/2))/(1*2)

x = ((417/49)^(1/2)+5/7)/2 or x = (5/7-(417/49)^(1/2))/2

x in { (5/7-(417/49)^(1/2))/2, ((417/49)^(1/2)+5/7)/2} 

x in { (5/7-(417/49)^(1/2))/2, ((417/49)^(1/2)+5/7)/2 }

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