2x+3/x+5=-9

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Solution for 2x+3/x+5=-9 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+3/x+5 = -9 // + 9

2*x+3/x+5+9 = 0

2*x^1+3*x^-1+14*x^0 = 0

(2*x^2+14*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+14*x^1+3*x^0) = 0

x^1

2*x^2+14*x+3 = 0

2*x^2+14*x+3 = 0

DELTA = 14^2-(2*3*4)

DELTA = 172

DELTA > 0

x = (172^(1/2)-14)/(2*2) or x = (-172^(1/2)-14)/(2*2)

x = (2*43^(1/2)-14)/4 or x = (-2*43^(1/2)-14)/4

x in { (-2*43^(1/2)-14)/4, (2*43^(1/2)-14)/4} 

x in { (-2*43^(1/2)-14)/4, (2*43^(1/2)-14)/4 }

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