X+5/x-7=x-1/x-4-1

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Solution for X+5/x-7=x-1/x-4-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

X+5/x-7 = x-(1/x)-4-1 // - x-(1/x)-4-1

X-x+5/x+1/x-7+1+4 = 0

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

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

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

x^1

6-x^2-2*x = 0

6-x^2-2*x = 0

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

DELTA = 28

DELTA > 0

x = (28^(1/2)+2)/(-1*2) or x = (2-28^(1/2))/(-1*2)

x = (2*7^(1/2)+2)/(-2) or x = (2-2*7^(1/2))/(-2)

x in { (2*7^(1/2)+2)/(-2), (2-2*7^(1/2))/(-2)} 

x in { (2*7^(1/2)+2)/(-2), (2-2*7^(1/2))/(-2) }

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