(x/x+5)=(x-4/x)

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Solution for (x/x+5)=(x-4/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

x/x+5 = x-(4/x) // - x-(4/x)

4/x-x+x/x+5 = 0

4*x^-1-1*x^1+6*x^0 = 0

(6*x^1-1*x^2+4*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^1-1*x^2+4*x^0) = 0

x^1

6*x-x^2+4 = 0

6*x-x^2+4 = 0

DELTA = 6^2-(-1*4*4)

DELTA = 52

DELTA > 0

x = (52^(1/2)-6)/(-1*2) or x = (-52^(1/2)-6)/(-1*2)

x = (2*13^(1/2)-6)/(-2) or x = (-2*13^(1/2)-6)/(-2)

x in { (2*13^(1/2)-6)/(-2), (-2*13^(1/2)-6)/(-2)} 

x in { (2*13^(1/2)-6)/(-2), (-2*13^(1/2)-6)/(-2) }

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