(x-5/x)-3/7=5/x

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Solution for (x-5/x)-3/7=5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(5/x)-(3/7) = 5/x // - 5/x

x-(5/x)-(5/x)-(3/7) = 0

x-5*x^-1-5*x^-1-3/7 = 0

1*x^1-10*x^-1-3/7*x^0 = 0

(1*x^2-3/7*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-3/7*x^1-10*x^0) = 0

x^1

x^2+(-3/7)*x-10 = 0

x^2+(-3/7)*x-10 = 0

DELTA = (-3/7)^2-(-10*1*4)

DELTA = 1969/49

DELTA > 0

x = ((1969/49)^(1/2)-(-3/7))/(1*2) or x = (-(-3/7)-(1969/49)^(1/2))/(1*2)

x = ((1969/49)^(1/2)+3/7)/2 or x = (3/7-(1969/49)^(1/2))/2

x in { (3/7-(1969/49)^(1/2))/2, ((1969/49)^(1/2)+3/7)/2} 

x in { (3/7-(1969/49)^(1/2))/2, ((1969/49)^(1/2)+3/7)/2 }

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