7/2x-5=4/x+1

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Solution for 7/2x-5=4/x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

7/2*x^1-4*x^-1-6*x^0 = 0

(7/2*x^2-6*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(7/2*x^2-6*x^1-4*x^0) = 0

x^1

(7/2)*x^2-6*x-4 = 0

(7/2)*x^2-6*x-4 = 0

DELTA = (-6)^2-(-4*4*(7/2))

DELTA = 92

DELTA > 0

x = (92^(1/2)+6)/(2*(7/2)) or x = (6-92^(1/2))/(2*(7/2))

x = (2*23^(1/2)+6)/7 or x = (6-2*23^(1/2))/7

x in { (6-2*23^(1/2))/7, (2*23^(1/2)+6)/7} 

x in { (6-2*23^(1/2))/7, (2*23^(1/2)+6)/7 }

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