4/2x-7=5/x+4

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Solution for 4/2x-7=5/x+4 equation: 


D( x )

x = 0

x = 0

x = 0

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

(4/2)*x-7 = 5/x+4 // - 5/x+4

(4/2)*x-(5/x)-7-4 = 0

(4/2)*x-5*x^-1-7-4 = 0

2*x^1-5*x^-1-11*x^0 = 0

(2*x^2-11*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-11*x^1-5*x^0) = 0

x^1

2*x^2-11*x-5 = 0

2*x^2-11*x-5 = 0

DELTA = (-11)^2-(-5*2*4)

DELTA = 161

DELTA > 0

x = (161^(1/2)+11)/(2*2) or x = (11-161^(1/2))/(2*2)

x = (161^(1/2)+11)/4 or x = (11-161^(1/2))/4

x in { (11-161^(1/2))/4, (161^(1/2)+11)/4} 

x in { (11-161^(1/2))/4, (161^(1/2)+11)/4 }

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